Least Common Multiple of 456, 492, 912

Q: How to Find the LCM of 456, 492, 912 ?

Least Common Multiple of 456, 492, 912 = 37392 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(456, 492, 912) = 2 x 2 x 2 x 2 x 3 x 19 x 41 = 37392.

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 456, 492, 912 i.e. 37392 smallest integer divisible by all numbers.

Least common multiple (LCM) of 456, 492, 912 is 37392.

LCM(456, 492, 912) = 37392

LCM of 456, 492, 912

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

Least Common Multiple of 456, 492, 912 by common division method
Least Common Multiple of 456, 492, 912 with GCF Formula

Least Common Multiple of 456,492,912

Least Common Multiple (LCM) of 456,492,912 is 37392

2	456, 492, 912
2	228, 246, 456
2	114, 123, 228
3	57, 123, 114
19	19, 41, 38
	1, 41, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 19 x 1 x 41 x 2 = 37392

Least Common Multiple of 456,492,912 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 456,492,912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,492,912) = 12

common factors(in case of two or more numbers have common factors) = 456

GCF(456,492,912) x common factors =12 x 456 = 5472

LCM(456,492,912) = ( 456 × 492 × 912 ) / 5472

LCM(456,492,912) = 204609024 / 5472

LCM(456,492,912) = 37392

∴ Least Common Multiple of 456,492,912 is 37392

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 456, 492, 912

1. What is the LCM of 456, 492, 912?

Answer: LCM of 456, 492, 912 is 37392.

2. What are the Factors of 37392?

Answer: Factors of 37392 are . There are integers that are factors of 37392

3. How to Find the LCM of 456, 492, 912 ?

Least Common Multiple of 456, 492, 912.

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(456, 492, 912) = 2 x 2 x 2 x 2 x 3 x 19 x 41 = 37392.