Least Common Multiple of 464, 268, 960, 148, 501

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 464, 268, 960, 148, 501 i.e. 11525565120 smallest integer divisible by all numbers.

Least common multiple (LCM) of 464, 268, 960, 148, 501 is 11525565120.

LCM(464, 268, 960, 148, 501) = 11525565120

LCM of 464, 268, 960, 148, 501

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

LCM of:

Least Common Multiple of 464,268,960,148,501

Least Common Multiple (LCM) of 464,268,960,148,501 is 11525565120

2 464, 268, 960, 148, 501
2 232, 134, 480, 74, 501
2 116, 67, 240, 37, 501
2 58, 67, 120, 37, 501
3 29, 67, 60, 37, 501
29, 67, 20, 37, 167

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 29 x 67 x 20 x 37 x 167 = 11525565120

Least Common Multiple of 464,268,960,148,501 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 464,268,960,148,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,268,960,148,501) = 1

common factors(in case of two or more numbers have common factors) = 768

GCF(464,268,960,148,501) x common factors =1 x 768 = 768

LCM(464,268,960,148,501) = ( 464 × 268 × 960 × 148 × 501 ) / 768

LCM(464,268,960,148,501) = 8851634012160 / 768

LCM(464,268,960,148,501) = 11525565120

∴ Least Common Multiple of 464,268,960,148,501 is 11525565120

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 464, 268, 960, 148, 501

1. What is the LCM of 464, 268, 960, 148, 501?

Answer: LCM of 464, 268, 960, 148, 501 is 11525565120.

2. What are the Factors of 11525565120?

Answer: Factors of 11525565120 are . There are integers that are factors of 11525565120

3. How to Find the LCM of 464, 268, 960, 148, 501 ?

Least Common Multiple of 464, 268, 960, 148, 501.

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(464, 268, 960, 148, 501) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 29 x 37 x 67 x 167 = 11525565120.