Least Common Multiple of 420, 315, 142

Q: How to Find the LCM of 420, 315, 142 ?

Least Common Multiple of 420, 315, 142 = 89460 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(420, 315, 142) = 2 x 2 x 3 x 3 x 5 x 7 x 71 = 89460.

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 420, 315, 142 i.e. 89460 smallest integer divisible by all numbers.

Least common multiple (LCM) of 420, 315, 142 is 89460.

LCM(420, 315, 142) = 89460

LCM of 420, 315, 142

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

Least Common Multiple of 420, 315, 142 by common division method
Least Common Multiple of 420, 315, 142 with GCF Formula

Least Common Multiple of 420,315,142

Least Common Multiple (LCM) of 420,315,142 is 89460

2	420, 315, 142
3	210, 315, 71
5	70, 105, 71
7	14, 21, 71
	2, 3, 71

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 2 x 3 x 71 = 89460

Least Common Multiple of 420,315,142 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 420,315,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(420,315,142) = 1

common factors(in case of two or more numbers have common factors) = 210

GCF(420,315,142) x common factors =1 x 210 = 210

LCM(420,315,142) = ( 420 × 315 × 142 ) / 210

LCM(420,315,142) = 18786600 / 210

LCM(420,315,142) = 89460

∴ Least Common Multiple of 420,315,142 is 89460

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 420, 315, 142

1. What is the LCM of 420, 315, 142?

Answer: LCM of 420, 315, 142 is 89460.

2. What are the Factors of 89460?

Answer: Factors of 89460 are . There are integers that are factors of 89460

3. How to Find the LCM of 420, 315, 142 ?

Least Common Multiple of 420, 315, 142.

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(420, 315, 142) = 2 x 2 x 3 x 3 x 5 x 7 x 71 = 89460.