Least Common Multiple Calculator
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Here you can find answers to questions like: LCM of 192 and 432 or What is the LCM of 192 and 432? Use this calculator to find the Least Common Multiple (LCM) for up to 3 mumbers.
The least common multiple (LCM) of a set of numbers is the lowest positive number that is a multiple of every number in that set. Supose you want to find the Least Common Multiple (LCM) for 6 and 8, notation LCM(6,8): The LCM of 6 and 8 is 24 because 24 is the smallest number that is both a multiple of 6 and a multiple of 8. This calculator uses the listing multiples method. This method consisits of writing out a list of the lowest multiples of each number, and look for the lowest multiple both numbers have in common. In this example we have:
The LCM is also known as:
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While every effort is made to ensure the accuracy of the information provided on this website, neither this website nor its authors are responsible for any errors or omissions. Therefore, the contents of this site are not suitable for any use involving risk to health, finances or property. LCM of 144, 180 and 192 is 2880. In Maths, the LCM of any two numbers is the value which is evenly divisible by the given two numbers. The LCM can be found easily by using various methods like prime factorisation, division and by listing the multiples. The smallest number among all frequent multiples of 144, 180, and 192 is the LCM of 144, 180, and 192. (144, 288, 432, 576, 720…), (180, 360, 540, 720, 900…), and (192, 384, 576, 768, 960…), respectively, are the first few multiples of 144, 180, and 192. Also read: Least common multiple What is LCM of 144, 180 and 192?The answer to this question is 2880. The LCM of 144, 180 and 192 using various methods is shown in this article for your reference. The LCM of two non-zero integers, 144, 180 and 192, is the smallest positive integer 2880 which is divisible by both 144, 180 and 192 with no remainder. How to Find LCM of 144, 180 and 192?LCM of 144, 180 and 192 can be found using three methods:
LCM of 144, 180 and 192 Using Prime Factorisation MethodThe prime factorisation of 144, 180 and 192, respectively, is given by: 144 = (2 × 2 × 2 × 2 × 3 × 3) = 24 × 32, 180 = (2 × 2 × 3 × 3 × 5) = 22 × 32 × 51, and 192 = (2 × 2 × 2 × 2 × 2 × 2 × 3) = 26 × 31 LCM (144, 180, 192) = 2880 LCM of 144, 180 and 192 Using Division MethodWe’ll divide the numbers LCM (144, 180, 192) by their prime factors to get the LCM of 144, 180 and 192 using the division method (preferably common). The LCM of 144, 180 and 192 is calculated by multiplying these divisors.
No further division can be done. Hence, LCM (144, 180, 192) = 2880 LCM of 144, 180 and 192 Using Listing the MultiplesTo calculate the LCM of 144, 180 and 192 by listing out the common multiples, list the multiples as shown below.
The smallest common multiple of 144, 180 and 192 is 2880. Therefore LCM (144, 180, 192) = 2880 Related ArticlesVideo Lesson on Applications of LCMLCM of 144, 180 and 192 Solved ExamplesQuestion: Find the smallest number that is divisible by 144, 180, 192 exactly. Solution: The value of LCM(144, 180, 192) will be the smallest number that is exactly divisible by 144, 180, and 192. ⇒ Multiples of 144, 180, and 192: Multiples of 144 = 144, 288, 432, 576, 720, 864, 1008, 1152, 1296, 1440, . . . ., 2448, 2592, 2736, 2880, . . . . Multiples of 180 = 180, 360, 540, 720, 900, 1080, 1260, 1440, 1620, 1800, . . . ., 2340, 2520, 2700, 2880, . . . . Multiples of 192 = 192, 384, 576, 768, 960, 1152, 1344, 1536, 1728, 1920, . . . ., 2304, 2496, 2688, 2880, . . . . Therefore, the LCM of 144, 180, and 192 is 2880. The LCM of 144, 180, and 192 is 2880. To find the LCM (least common multiple) of 144, 180, and 192, we need to find the multiples of 144, 180, and 192 (multiples of 144 = 144, 288, 432, 576 . . . . 2880 . . . . ; multiples of 180 = 180, 360, 540, 720 . . . . 2880 . . . . ; multiples of 192 = 192, 384, 576, 768 . . . . 2880 . . . . ) and choose the smallest multiple that is exactly divisible by 144, 180, and 192, i.e., 2880. The methods used to find the LCM of 144, 180 and 192 are Prime Factorization Method, Division Method and Listing multiples. The following equation can be used to express the relation between GCF and LCM of 144, 180, 192, i.e. LCM(144, 180, 192) = [(144 × 180 × 192) × GCF(144, 180, 192)]/[GCF(144, 180) × GCF(180, 192) × GCF(144, 192)]. Menu lcm (192; 4) = ?A number 'a' is divisible by a number 'b' if there is no remainder when 'a' is divided by 'b'.Divide the larger number by the smaller one.When we divide our numbers, there is no remainder:192 ÷ 4 = 48 + 0=> 192 = 4 × 48=> 192 is divisible by 4.=> 192 is a multiple of 4.The smallest multiple of 192 is the number itself: 192.The least common multiple: |
What is the LCM of 192?
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