Least Common Multiple of 462, 768, 378

Q: How to Find the LCM of 462, 768, 378 ?

Least Common Multiple of 462, 768, 378 = 532224 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(462, 768, 378) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 11 = 532224.

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 462, 768, 378 i.e. 532224 smallest integer divisible by all numbers.

Least common multiple (LCM) of 462, 768, 378 is 532224.

LCM(462, 768, 378) = 532224

LCM of 462, 768, 378

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

Least Common Multiple of 462, 768, 378 by common division method
Least Common Multiple of 462, 768, 378 with GCF Formula

Least Common Multiple of 462,768,378

Least Common Multiple (LCM) of 462,768,378 is 532224

2	462, 768, 378
3	231, 384, 189
7	77, 128, 63
	11, 128, 9

∴ So the LCM of the given numbers is 2 x 3 x 7 x 11 x 128 x 9 = 532224

Least Common Multiple of 462,768,378 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 462,768,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,768,378) = 6

common factors(in case of two or more numbers have common factors) = 42

GCF(462,768,378) x common factors =6 x 42 = 252

LCM(462,768,378) = ( 462 × 768 × 378 ) / 252

LCM(462,768,378) = 134120448 / 252

LCM(462,768,378) = 532224

∴ Least Common Multiple of 462,768,378 is 532224

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 462, 768, 378

1. What is the LCM of 462, 768, 378?

Answer: LCM of 462, 768, 378 is 532224.

2. What are the Factors of 532224?

Answer: Factors of 532224 are . There are integers that are factors of 532224

3. How to Find the LCM of 462, 768, 378 ?

Least Common Multiple of 462, 768, 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(462, 768, 378) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 7 x 11 = 532224.