Least Common Multiple of 546, 972, 378

Q: How to Find the LCM of 546, 972, 378 ?

Least Common Multiple of 546, 972, 378 = 88452 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(546, 972, 378) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 x 13 = 88452.

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 546, 972, 378 i.e. 88452 smallest integer divisible by all numbers.

Least common multiple (LCM) of 546, 972, 378 is 88452.

LCM(546, 972, 378) = 88452

LCM of 546, 972, 378

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

Least Common Multiple of 546, 972, 378 by common division method
Least Common Multiple of 546, 972, 378 with GCF Formula

Least Common Multiple of 546,972,378

Least Common Multiple (LCM) of 546,972,378 is 88452

2	546, 972, 378
3	273, 486, 189
3	91, 162, 63
3	91, 54, 21
7	91, 18, 7
	13, 18, 1

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 7 x 13 x 18 x 1 = 88452

Least Common Multiple of 546,972,378 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 546,972,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(546,972,378) = 6

common factors(in case of two or more numbers have common factors) = 378

GCF(546,972,378) x common factors =6 x 378 = 2268

LCM(546,972,378) = ( 546 × 972 × 378 ) / 2268

LCM(546,972,378) = 200609136 / 2268

LCM(546,972,378) = 88452

∴ Least Common Multiple of 546,972,378 is 88452

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 546, 972, 378

1. What is the LCM of 546, 972, 378?

Answer: LCM of 546, 972, 378 is 88452.

2. What are the Factors of 88452?

Answer: Factors of 88452 are . There are integers that are factors of 88452

3. How to Find the LCM of 546, 972, 378 ?

Least Common Multiple of 546, 972, 378.

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(546, 972, 378) = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 7 x 13 = 88452.