Question 63

If the Least Common Multiple of 56, 57 and 58 is K, then what will be the Least Common Multiple of 56, 57, 58 and 59?

Solution

56 = $$2\times 2\times 2\times 7$$

57 = $$3\times 19$$

58 = $$2\times 29$$

lcm of 56,57,58 = 92568 which is equal to k

now,

56 = $$2\times 2\times 2\times 7$$

57 = $$3\times 19$$

58 = $$2\times 29$$

59 = $$59$$

then lcm of 56,57,58,59 = $$92568\times 59$$ = $$59\times k$$

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