What is the smallest number which when multiplied by 72 gives a multiple of 112?

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Least Common Multiple Calculator

Here you can find answers to questions like: What is the least common multiple of 112 and 72? or What is the LCM of 112 and 72?

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:

  • Multiples of 6: 6, 12, 18, 24. Note that 6 = 6 x 1, 12 = 6 x 2, 18 = 6 x 3, 24 = 6 x 4, 30 = 6 x 5
  • Multiples of 8: 8, 16, 24. Also note that 8 = 8 x1, 16 = 8 x 2, 24 = 8 x 3, 32 = 8 x 4, ...
Because 24 is the first (lowest) number to appear on both lists of multiples, 24 is the LCM of 6 and 8.

The LCM is also known as:

  • lowest common multiple
  • smallest common multiple

See also:

What is the smallest number which when multiplied by 72 gives a multiple of 112?

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The least number by which 72 must be multiplied in order to produce a multiple of 112 ? from cheatatmathhomework

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