Least Common Multiple of 31, 36, 72, 210

Q: How to Find the LCM of 31, 36, 72, 210 ?

Least Common Multiple of 31, 36, 72, 210 = 78120 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(31, 36, 72, 210) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 31 = 78120.

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 31, 36, 72, 210 i.e. 78120 smallest integer divisible by all numbers.

Least common multiple (LCM) of 31, 36, 72, 210 is 78120.

LCM(31, 36, 72, 210) = 78120

LCM of 31, 36, 72, 210

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

Least Common Multiple of 31, 36, 72, 210 by common division method
Least Common Multiple of 31, 36, 72, 210 with GCF Formula

Least Common Multiple of 31,36,72,210

Least Common Multiple (LCM) of 31,36,72,210 is 78120

2	31, 36, 72, 210
2	31, 18, 36, 105
3	31, 9, 18, 105
3	31, 3, 6, 35
	31, 1, 2, 35

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 31 x 1 x 2 x 35 = 78120

Least Common Multiple of 31,36,72,210 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 31,36,72,210 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,36,72,210) = 1

common factors(in case of two or more numbers have common factors) = 216

GCF(31,36,72,210) x common factors =1 x 216 = 216

LCM(31,36,72,210) = ( 31 × 36 × 72 × 210 ) / 216

LCM(31,36,72,210) = 16873920 / 216

LCM(31,36,72,210) = 78120

∴ Least Common Multiple of 31,36,72,210 is 78120

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 31, 36, 72, 210

1. What is the LCM of 31, 36, 72, 210?

Answer: LCM of 31, 36, 72, 210 is 78120.

2. What are the Factors of 78120?

Answer: Factors of 78120 are . There are integers that are factors of 78120

3. How to Find the LCM of 31, 36, 72, 210 ?

Least Common Multiple of 31, 36, 72, 210.

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(31, 36, 72, 210) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 31 = 78120.