Least Common Multiple of 21, 35, 72, 686

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 21, 35, 72, 686 i.e. 123480 smallest integer divisible by all numbers.

Least common multiple (LCM) of 21, 35, 72, 686 is 123480.

LCM(21, 35, 72, 686) = 123480

LCM of 21, 35, 72, 686

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

LCM of:

Least Common Multiple of 21,35,72,686

Least Common Multiple (LCM) of 21,35,72,686 is 123480

2 21, 35, 72, 686
3 21, 35, 36, 343
7 7, 35, 12, 343
1, 5, 12, 49

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 5 x 12 x 49 = 123480

Least Common Multiple of 21,35,72,686 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 21,35,72,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,35,72,686) = 1

common factors(in case of two or more numbers have common factors) = 294

GCF(21,35,72,686) x common factors =1 x 294 = 294

LCM(21,35,72,686) = ( 21 × 35 × 72 × 686 ) / 294

LCM(21,35,72,686) = 36303120 / 294

LCM(21,35,72,686) = 123480

∴ Least Common Multiple of 21,35,72,686 is 123480

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 21, 35, 72, 686

1. What is the LCM of 21, 35, 72, 686?

Answer: LCM of 21, 35, 72, 686 is 123480.

2. What are the Factors of 123480?

Answer: Factors of 123480 are . There are integers that are factors of 123480

3. How to Find the LCM of 21, 35, 72, 686 ?

Least Common Multiple of 21, 35, 72, 686.

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(21, 35, 72, 686) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 7 x 7 = 123480.