Least Common Multiple of 24, 68, 816, 531

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 24, 68, 816, 531 i.e. 144432 smallest integer divisible by all numbers.

Least common multiple (LCM) of 24, 68, 816, 531 is 144432.

LCM(24, 68, 816, 531) = 144432

LCM of 24, 68, 816, 531

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

LCM of:

Least Common Multiple of 24,68,816,531

Least Common Multiple (LCM) of 24,68,816,531 is 144432

2 24, 68, 816, 531
2 12, 34, 408, 531
2 6, 17, 204, 531
3 3, 17, 102, 531
17 1, 17, 34, 177
1, 1, 2, 177

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 17 x 1 x 1 x 2 x 177 = 144432

Least Common Multiple of 24,68,816,531 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 24,68,816,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,68,816,531) = 1

common factors(in case of two or more numbers have common factors) = 4896

GCF(24,68,816,531) x common factors =1 x 4896 = 4896

LCM(24,68,816,531) = ( 24 × 68 × 816 × 531 ) / 4896

LCM(24,68,816,531) = 707139072 / 4896

LCM(24,68,816,531) = 144432

∴ Least Common Multiple of 24,68,816,531 is 144432

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 24, 68, 816, 531

1. What is the LCM of 24, 68, 816, 531?

Answer: LCM of 24, 68, 816, 531 is 144432.

2. What are the Factors of 144432?

Answer: Factors of 144432 are . There are integers that are factors of 144432

3. How to Find the LCM of 24, 68, 816, 531 ?

Least Common Multiple of 24, 68, 816, 531.

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(24, 68, 816, 531) = 2 x 2 x 2 x 2 x 3 x 3 x 17 x 59 = 144432.