Least Common Multiple of 20, 87, 30, 916

Q: How to Find the LCM of 20, 87, 30, 916 ?

Least Common Multiple of 20, 87, 30, 916 = 398460 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(20, 87, 30, 916) = 2 x 2 x 3 x 5 x 29 x 229 = 398460.

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 20, 87, 30, 916 i.e. 398460 smallest integer divisible by all numbers.

Least common multiple (LCM) of 20, 87, 30, 916 is 398460.

LCM(20, 87, 30, 916) = 398460

LCM of 20, 87, 30, 916

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

Least Common Multiple of 20, 87, 30, 916 by common division method
Least Common Multiple of 20, 87, 30, 916 with GCF Formula

Least Common Multiple of 20,87,30,916

Least Common Multiple (LCM) of 20,87,30,916 is 398460

2	20, 87, 30, 916
2	10, 87, 15, 458
3	5, 87, 15, 229
5	5, 29, 5, 229
	1, 29, 1, 229

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 29 x 1 x 229 = 398460

Least Common Multiple of 20,87,30,916 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 20,87,30,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,87,30,916) = 1

common factors(in case of two or more numbers have common factors) = 120

GCF(20,87,30,916) x common factors =1 x 120 = 120

LCM(20,87,30,916) = ( 20 × 87 × 30 × 916 ) / 120

LCM(20,87,30,916) = 47815200 / 120

LCM(20,87,30,916) = 398460

∴ Least Common Multiple of 20,87,30,916 is 398460

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 20, 87, 30, 916

1. What is the LCM of 20, 87, 30, 916?

Answer: LCM of 20, 87, 30, 916 is 398460.

2. What are the Factors of 398460?

Answer: Factors of 398460 are . There are integers that are factors of 398460

3. How to Find the LCM of 20, 87, 30, 916 ?

Least Common Multiple of 20, 87, 30, 916.

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(20, 87, 30, 916) = 2 x 2 x 3 x 5 x 29 x 229 = 398460.