Least Common Multiple of 972, 448, 515, 384

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 972, 448, 515, 384 i.e. 112129920 smallest integer divisible by all numbers.

Least common multiple (LCM) of 972, 448, 515, 384 is 112129920.

LCM(972, 448, 515, 384) = 112129920

LCM of 972, 448, 515, 384

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

LCM of:

Least Common Multiple of 972,448,515,384

Least Common Multiple (LCM) of 972,448,515,384 is 112129920

2 972, 448, 515, 384
2 486, 224, 515, 192
2 243, 112, 515, 96
2 243, 56, 515, 48
2 243, 28, 515, 24
2 243, 14, 515, 12
3 243, 7, 515, 6
81, 7, 515, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 81 x 7 x 515 x 2 = 112129920

Least Common Multiple of 972,448,515,384 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 972,448,515,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(972,448,515,384) = 1

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

GCF(972,448,515,384) x common factors =1 x 768 = 768

LCM(972,448,515,384) = ( 972 × 448 × 515 × 384 ) / 768

LCM(972,448,515,384) = 86115778560 / 768

LCM(972,448,515,384) = 112129920

∴ Least Common Multiple of 972,448,515,384 is 112129920

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 972, 448, 515, 384

1. What is the LCM of 972, 448, 515, 384?

Answer: LCM of 972, 448, 515, 384 is 112129920.

2. What are the Factors of 112129920?

Answer: Factors of 112129920 are . There are integers that are factors of 112129920

3. How to Find the LCM of 972, 448, 515, 384 ?

Least Common Multiple of 972, 448, 515, 384.

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(972, 448, 515, 384) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 103 = 112129920.