Least Common Multiple of 3264, 7920

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 3264, 7920 i.e. 538560 smallest integer divisible by all numbers.

Least common multiple (LCM) of 3264, 7920 is 538560.

LCM(3264, 7920) = 538560

LCM of 3264, 7920

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

LCM of:

Least Common Multiple of 3264,7920

Least Common Multiple (LCM) of 3264,7920 is 538560

2 3264, 7920
2 1632, 3960
2 816, 1980
2 408, 990
3 204, 495
68, 165

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 68 x 165 = 538560

Least Common Multiple of 3264,7920 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 3264,7920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3264,7920) = 48

common factors(in case of two or more numbers have common factors) = 1

GCF(3264,7920) x common factors =48 x 1 = 48

LCM(3264,7920) = ( 3264 × 7920 ) / 48

LCM(3264,7920) = 25850880 / 48

LCM(3264,7920) = 538560

∴ Least Common Multiple of 3264,7920 is 538560

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 3264, 7920

1. What is the LCM of 3264, 7920?

Answer: LCM of 3264, 7920 is 538560.

2. What are the Factors of 538560?

Answer: Factors of 538560 are . There are integers that are factors of 538560

3. How to Find the LCM of 3264, 7920 ?

Least Common Multiple of 3264, 7920.

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(3264, 7920) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 11 x 17 = 538560.