Least Common Multiple of 748, 462, 972

Q: How to Find the LCM of 748, 462, 972 ?

Least Common Multiple of 748, 462, 972 = 1272348 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(748, 462, 972) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 x 11 x 17 = 1272348.

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 748, 462, 972 i.e. 1272348 smallest integer divisible by all numbers.

Least common multiple (LCM) of 748, 462, 972 is 1272348.

LCM(748, 462, 972) = 1272348

LCM of 748, 462, 972

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

Least Common Multiple of 748, 462, 972 by common division method
Least Common Multiple of 748, 462, 972 with GCF Formula

Least Common Multiple of 748,462,972

Least Common Multiple (LCM) of 748,462,972 is 1272348

2	748, 462, 972
2	374, 231, 486
3	187, 231, 243
11	187, 77, 81
	17, 7, 81

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 17 x 7 x 81 = 1272348

Least Common Multiple of 748,462,972 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 748,462,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,462,972) = 2

common factors(in case of two or more numbers have common factors) = 132

GCF(748,462,972) x common factors =2 x 132 = 264

LCM(748,462,972) = ( 748 × 462 × 972 ) / 264

LCM(748,462,972) = 335899872 / 264

LCM(748,462,972) = 1272348

∴ Least Common Multiple of 748,462,972 is 1272348

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 748, 462, 972

1. What is the LCM of 748, 462, 972?

Answer: LCM of 748, 462, 972 is 1272348.

2. What are the Factors of 1272348?

Answer: Factors of 1272348 are . There are integers that are factors of 1272348

3. How to Find the LCM of 748, 462, 972 ?

Least Common Multiple of 748, 462, 972.

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(748, 462, 972) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 x 11 x 17 = 1272348.