Least Common Multiple of 462, 306, 378

Q: How to Find the LCM of 462, 306, 378 ?

Least Common Multiple of 462, 306, 378 = 70686 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, 306, 378) = 2 x 3 x 3 x 3 x 7 x 11 x 17 = 70686.

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, 306, 378 i.e. 70686 smallest integer divisible by all numbers.

Least common multiple (LCM) of 462, 306, 378 is 70686.

LCM(462, 306, 378) = 70686

LCM of 462, 306, 378

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

Least Common Multiple of 462, 306, 378 by common division method
Least Common Multiple of 462, 306, 378 with GCF Formula

Least Common Multiple of 462,306,378

Least Common Multiple (LCM) of 462,306,378 is 70686

2	462, 306, 378
3	231, 153, 189
3	77, 51, 63
7	77, 17, 21
	11, 17, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 11 x 17 x 3 = 70686

Least Common Multiple of 462,306,378 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 462,306,378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,306,378) = 6

common factors(in case of two or more numbers have common factors) = 126

GCF(462,306,378) x common factors =6 x 126 = 756

LCM(462,306,378) = ( 462 × 306 × 378 ) / 756

LCM(462,306,378) = 53438616 / 756

LCM(462,306,378) = 70686

∴ Least Common Multiple of 462,306,378 is 70686

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, 306, 378

1. What is the LCM of 462, 306, 378?

Answer: LCM of 462, 306, 378 is 70686.

2. What are the Factors of 70686?

Answer: Factors of 70686 are . There are integers that are factors of 70686

3. How to Find the LCM of 462, 306, 378 ?

Least Common Multiple of 462, 306, 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, 306, 378) = 2 x 3 x 3 x 3 x 7 x 11 x 17 = 70686.