Least Common Multiple of 123, 450, 615

Q: How to Find the LCM of 123, 450, 615 ?

Least Common Multiple of 123, 450, 615 = 18450 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(123, 450, 615) = 2 x 3 x 3 x 5 x 5 x 41 = 18450.

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 123, 450, 615 i.e. 18450 smallest integer divisible by all numbers.

Least common multiple (LCM) of 123, 450, 615 is 18450.

LCM(123, 450, 615) = 18450

LCM of 123, 450, 615

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

Least Common Multiple of 123, 450, 615 by common division method
Least Common Multiple of 123, 450, 615 with GCF Formula

Least Common Multiple of 123,450,615

Least Common Multiple (LCM) of 123,450,615 is 18450

3	123, 450, 615
5	41, 150, 205
41	41, 30, 41
	1, 30, 1

∴ So the LCM of the given numbers is 3 x 5 x 41 x 1 x 30 x 1 = 18450

Least Common Multiple of 123,450,615 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 123,450,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,450,615) = 3

common factors(in case of two or more numbers have common factors) = 615

GCF(123,450,615) x common factors =3 x 615 = 1845

LCM(123,450,615) = ( 123 × 450 × 615 ) / 1845

LCM(123,450,615) = 34040250 / 1845

LCM(123,450,615) = 18450

∴ Least Common Multiple of 123,450,615 is 18450

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 123, 450, 615

1. What is the LCM of 123, 450, 615?

Answer: LCM of 123, 450, 615 is 18450.

2. What are the Factors of 18450?

Answer: Factors of 18450 are . There are integers that are factors of 18450

3. How to Find the LCM of 123, 450, 615 ?

Least Common Multiple of 123, 450, 615.

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(123, 450, 615) = 2 x 3 x 3 x 5 x 5 x 41 = 18450.