Least Common Multiple of 378, 450, 310

Q: How to Find the LCM of 378, 450, 310 ?

Least Common Multiple of 378, 450, 310 = 292950 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(378, 450, 310) = 2 x 3 x 3 x 3 x 5 x 5 x 7 x 31 = 292950.

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 378, 450, 310 i.e. 292950 smallest integer divisible by all numbers.

Least common multiple (LCM) of 378, 450, 310 is 292950.

LCM(378, 450, 310) = 292950

LCM of 378, 450, 310

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

Least Common Multiple of 378, 450, 310 by common division method
Least Common Multiple of 378, 450, 310 with GCF Formula

Least Common Multiple of 378,450,310

Least Common Multiple (LCM) of 378,450,310 is 292950

2	378, 450, 310
3	189, 225, 155
3	63, 75, 155
5	21, 25, 155
	21, 5, 31

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 21 x 5 x 31 = 292950

Least Common Multiple of 378,450,310 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 378,450,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(378,450,310) = 2

common factors(in case of two or more numbers have common factors) = 90

GCF(378,450,310) x common factors =2 x 90 = 180

LCM(378,450,310) = ( 378 × 450 × 310 ) / 180

LCM(378,450,310) = 52731000 / 180

LCM(378,450,310) = 292950

∴ Least Common Multiple of 378,450,310 is 292950

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 378, 450, 310

1. What is the LCM of 378, 450, 310?

Answer: LCM of 378, 450, 310 is 292950.

2. What are the Factors of 292950?

Answer: Factors of 292950 are . There are integers that are factors of 292950

3. How to Find the LCM of 378, 450, 310 ?

Least Common Multiple of 378, 450, 310.

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(378, 450, 310) = 2 x 3 x 3 x 3 x 5 x 5 x 7 x 31 = 292950.