Least Common Multiple of 27, 68, 17, 216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 27, 68, 17, 216 i.e. 3672 smallest integer divisible by all numbers.

Least common multiple (LCM) of 27, 68, 17, 216 is 3672.

LCM(27, 68, 17, 216) = 3672

LCM of 27, 68, 17, 216

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 27,68,17,216

Least Common Multiple (LCM) of 27,68,17,216 is 3672

2 27, 68, 17, 216
2 27, 34, 17, 108
3 27, 17, 17, 54
3 9, 17, 17, 18
3 3, 17, 17, 6
17 1, 17, 17, 2
1, 1, 1, 2

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 17 x 1 x 1 x 1 x 2 = 3672

Least Common Multiple of 27,68,17,216 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 27,68,17,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,68,17,216) = 1

common factors(in case of two or more numbers have common factors) = 1836

GCF(27,68,17,216) x common factors =1 x 1836 = 1836

LCM(27,68,17,216) = ( 27 × 68 × 17 × 216 ) / 1836

LCM(27,68,17,216) = 6741792 / 1836

LCM(27,68,17,216) = 3672

∴ Least Common Multiple of 27,68,17,216 is 3672

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 27, 68, 17, 216

1. What is the LCM of 27, 68, 17, 216?

Answer: LCM of 27, 68, 17, 216 is 3672.

2. What are the Factors of 3672?

Answer: Factors of 3672 are . There are integers that are factors of 3672

3. How to Find the LCM of 27, 68, 17, 216 ?

Least Common Multiple of 27, 68, 17, 216.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(27, 68, 17, 216) = 2 x 2 x 2 x 3 x 3 x 3 x 17 = 3672.