Least Common Multiple of 648, 432, 960

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 648, 432, 960 i.e. 25920 smallest integer divisible by all numbers.

Least common multiple (LCM) of 648, 432, 960 is 25920.

LCM(648, 432, 960) = 25920

LCM of 648, 432, 960

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

LCM of:

Least Common Multiple of 648,432,960

Least Common Multiple (LCM) of 648,432,960 is 25920

2 648, 432, 960
2 324, 216, 480
2 162, 108, 240
2 81, 54, 120
3 81, 27, 60
3 9, 27, 20
3 3, 9, 20
1, 3, 20

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 3 x 3 x 1 x 3 x 20 = 25920

Least Common Multiple of 648,432,960 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 648,432,960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(648,432,960) = 24

common factors(in case of two or more numbers have common factors) = 432

GCF(648,432,960) x common factors =24 x 432 = 10368

LCM(648,432,960) = ( 648 × 432 × 960 ) / 10368

LCM(648,432,960) = 268738560 / 10368

LCM(648,432,960) = 25920

∴ Least Common Multiple of 648,432,960 is 25920

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 648, 432, 960

1. What is the LCM of 648, 432, 960?

Answer: LCM of 648, 432, 960 is 25920.

2. What are the Factors of 25920?

Answer: Factors of 25920 are . There are integers that are factors of 25920

3. How to Find the LCM of 648, 432, 960 ?

Least Common Multiple of 648, 432, 960.

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(648, 432, 960) = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 = 25920.