Least Common Multiple of 34, 68, 36, 324

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 34, 68, 36, 324 i.e. 5508 smallest integer divisible by all numbers.

Least common multiple (LCM) of 34, 68, 36, 324 is 5508.

LCM(34, 68, 36, 324) = 5508

LCM of 34, 68, 36, 324

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

LCM of:

Least Common Multiple of 34,68,36,324

Least Common Multiple (LCM) of 34,68,36,324 is 5508

2 34, 68, 36, 324
2 17, 34, 18, 162
3 17, 17, 9, 81
3 17, 17, 3, 27
17 17, 17, 1, 9
1, 1, 1, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 17 x 1 x 1 x 1 x 9 = 5508

Least Common Multiple of 34,68,36,324 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 34,68,36,324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,68,36,324) = 2

common factors(in case of two or more numbers have common factors) = 2448

GCF(34,68,36,324) x common factors =2 x 2448 = 4896

LCM(34,68,36,324) = ( 34 × 68 × 36 × 324 ) / 4896

LCM(34,68,36,324) = 26967168 / 4896

LCM(34,68,36,324) = 5508

∴ Least Common Multiple of 34,68,36,324 is 5508

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 34, 68, 36, 324

1. What is the LCM of 34, 68, 36, 324?

Answer: LCM of 34, 68, 36, 324 is 5508.

2. What are the Factors of 5508?

Answer: Factors of 5508 are . There are integers that are factors of 5508

3. How to Find the LCM of 34, 68, 36, 324 ?

Least Common Multiple of 34, 68, 36, 324.

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(34, 68, 36, 324) = 2 x 2 x 3 x 3 x 3 x 3 x 17 = 5508.