Question

find LCM by prime factorisation method?
(a) 24,36
(b) 3,4,6
(c) 16,64
(d) 6,8,10
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Answer 1

step 1 Address input parameters & values.

Integers: 24 36 72

lcm (24, 36, 72) = ?

step 2 Arrange the group of numbers in the horizontal form with space or comma separated format

24, 36 and 72

step 3 Choose the divisor which divides each or most of the integers of in the group (24, 36 and 72), divide each integers separately and write down the quotient in the next line right under the respective integers. Bring down the integer to the next line if the integer is not divisible by the divisor. Repeat the same process until all the integers are brought to 1.

LCM of 24, 36 and 72

12 24 36 72

2 2 3 6

3 1 3 3

1 1 1

step 4 Multiply the divisors to find the lcm of 24, 36 and 72

12 x 2 x 3 = 72

LCM(24, 36, 72) = 72

The least common multiple for three numbers 24, 36 and 72 is 72

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Answer 2

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