Question

find the lcm of 39,65,78 by common division method

Answer 1

Problem & Workout :

step 1 Address input parameters & values.

39 65 78

lcm (39, 65, 78) = ?

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

39, 65 and 78

step 3 Choose the divisor which divides each or most of the integers of in the group (39, 65 and 78), 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 39, 65 and 78

13 39 65 78

3 3 5 6

5 1 5 2

2 1 1 2

1 1 1

step 4 Multiply the divisors to find the lcm of 39, 65 and 78

13 x 3 x 5 x 2 = 390

lcm (39, 65, 78) = 390

390 is least common multiple for three numbers 39, 65 and 78

Answer 2

$39 = 3 \times 13$
$65 = 5 \times 13$
$78 = 2 \times 3 \times 13$
in this common number is 13 so it is HCF and LCM is
$3 \times 13 \times 5 \times 2 \times 3 = 1170$
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