Least Common Multiple of 992, 144, 924

Q: How to Find the LCM of 992, 144, 924 ?

Least Common Multiple of 992, 144, 924 = 687456 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(992, 144, 924) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 31 = 687456.

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 992, 144, 924 i.e. 687456 smallest integer divisible by all numbers.

Least common multiple (LCM) of 992, 144, 924 is 687456.

LCM(992, 144, 924) = 687456

LCM of 992, 144, 924

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

Least Common Multiple of 992, 144, 924 by common division method
Least Common Multiple of 992, 144, 924 with GCF Formula

Least Common Multiple of 992,144,924

Least Common Multiple (LCM) of 992,144,924 is 687456

2	992, 144, 924
2	496, 72, 462
2	248, 36, 231
2	124, 18, 231
3	62, 9, 231
	62, 3, 77

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 62 x 3 x 77 = 687456

Least Common Multiple of 992,144,924 with GCF Formula

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

We need to calculate greatest common factor of 992,144,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(992,144,924) = 4

common factors(in case of two or more numbers have common factors) = 48

GCF(992,144,924) x common factors =4 x 48 = 192

LCM(992,144,924) = ( 992 × 144 × 924 ) / 192

LCM(992,144,924) = 131991552 / 192

LCM(992,144,924) = 687456

∴ Least Common Multiple of 992,144,924 is 687456

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 992, 144, 924

1. What is the LCM of 992, 144, 924?

Answer: LCM of 992, 144, 924 is 687456.

2. What are the Factors of 687456?

Answer: Factors of 687456 are . There are integers that are factors of 687456

3. How to Find the LCM of 992, 144, 924 ?

Least Common Multiple of 992, 144, 924.

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(992, 144, 924) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 7 x 11 x 31 = 687456.