Least Common Multiple of 336, 648, 378

Q: How to Find the LCM of 336, 648, 378 ?

Least Common Multiple of 336, 648, 378 = 9072 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(336, 648, 378) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 = 9072.

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 336, 648, 378 i.e. 9072 smallest integer divisible by all numbers.

Least common multiple (LCM) of 336, 648, 378 is 9072.

LCM(336, 648, 378) = 9072

LCM of 336, 648, 378

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

Least Common Multiple of 336, 648, 378 by common division method
Least Common Multiple of 336, 648, 378 with GCF Formula

Least Common Multiple of 336,648,378

Least Common Multiple (LCM) of 336,648,378 is 9072

2	336, 648, 378
2	168, 324, 189
2	84, 162, 189
3	42, 81, 189
3	14, 27, 63
3	14, 9, 21
7	14, 3, 7
	2, 3, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 3 x 7 x 2 x 3 x 1 = 9072

Least Common Multiple of 336,648,378 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 336,648,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(336,648,378) = 6

common factors(in case of two or more numbers have common factors) = 1512

GCF(336,648,378) x common factors =6 x 1512 = 9072

LCM(336,648,378) = ( 336 × 648 × 378 ) / 9072

LCM(336,648,378) = 82301184 / 9072

LCM(336,648,378) = 9072

∴ Least Common Multiple of 336,648,378 is 9072

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 336, 648, 378

1. What is the LCM of 336, 648, 378?

Answer: LCM of 336, 648, 378 is 9072.

2. What are the Factors of 9072?

Answer: Factors of 9072 are . There are integers that are factors of 9072

3. How to Find the LCM of 336, 648, 378 ?

Least Common Multiple of 336, 648, 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(336, 648, 378) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 = 9072.