Least Common Multiple of 686, 180, 420

Q: How to Find the LCM of 686, 180, 420 ?

Least Common Multiple of 686, 180, 420 = 61740 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(686, 180, 420) = 2 x 2 x 3 x 3 x 5 x 7 x 7 x 7 = 61740.

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 686, 180, 420 i.e. 61740 smallest integer divisible by all numbers.

Least common multiple (LCM) of 686, 180, 420 is 61740.

LCM(686, 180, 420) = 61740

LCM of 686, 180, 420

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

Least Common Multiple of 686, 180, 420 by common division method
Least Common Multiple of 686, 180, 420 with GCF Formula

Least Common Multiple of 686,180,420

Least Common Multiple (LCM) of 686,180,420 is 61740

2	686, 180, 420
2	343, 90, 210
3	343, 45, 105
5	343, 15, 35
7	343, 3, 7
	49, 3, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 49 x 3 x 1 = 61740

Least Common Multiple of 686,180,420 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 686,180,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,180,420) = 2

common factors(in case of two or more numbers have common factors) = 420

GCF(686,180,420) x common factors =2 x 420 = 840

LCM(686,180,420) = ( 686 × 180 × 420 ) / 840

LCM(686,180,420) = 51861600 / 840

LCM(686,180,420) = 61740

∴ Least Common Multiple of 686,180,420 is 61740

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 686, 180, 420

1. What is the LCM of 686, 180, 420?

Answer: LCM of 686, 180, 420 is 61740.

2. What are the Factors of 61740?

Answer: Factors of 61740 are . There are integers that are factors of 61740

3. How to Find the LCM of 686, 180, 420 ?

Least Common Multiple of 686, 180, 420.

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(686, 180, 420) = 2 x 2 x 3 x 3 x 5 x 7 x 7 x 7 = 61740.