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What is the lowest common multiple of 1200, 240 and 600?

asked Jul 14, 2014 in PRE-ALGEBRA by anonymous

1 Answer

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The numbers are 1200, 240 and 600.

Write the prime factorization of each number.

1200 = 2 * 2 * 2 * 2 * 3 * 5 * 5 = 24 * 3 * 52

240 =  2 * 2 * 2 * 2 * 3 * 5 = 24 * 3 * 5

600 =  2 * 2 * 2 * 3 * 5 * 5 = 23 * 3 * 52.

Multiply highest power of  each factor in the either number.

Least common multiple =  24 * 3 * 52

= 16 * 3 * 25

= 1200.

Least common multiple of 1200, 240 and 600 is 1200.

answered Jul 14, 2014 by lilly Expert

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