Least Common Multiple of 687, 208, 217

Q: How to Find the LCM of 687, 208, 217 ?

Least Common Multiple of 687, 208, 217 = 31008432 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(687, 208, 217) = 2 x 2 x 2 x 2 x 3 x 7 x 13 x 31 x 229 = 31008432.

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 687, 208, 217 i.e. 31008432 smallest integer divisible by all numbers.

Least common multiple (LCM) of 687, 208, 217 is 31008432.

LCM(687, 208, 217) = 31008432

LCM of 687, 208, 217

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

Least Common Multiple of 687, 208, 217 by common division method
Least Common Multiple of 687, 208, 217 with GCF Formula

Least Common Multiple of 687,208,217

Least Common Multiple (LCM) of 687,208,217 is 31008432

Given numbers has no common factors except 1. So, there LCM is their product i.e 31008432

Least Common Multiple of 687,208,217 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 687,208,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,208,217) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(687,208,217) x common factors =1 x 1 = 1

LCM(687,208,217) = ( 687 × 208 × 217 ) / 1

LCM(687,208,217) = 31008432 / 1

LCM(687,208,217) = 31008432

∴ Least Common Multiple of 687,208,217 is 31008432

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 687, 208, 217

1. What is the LCM of 687, 208, 217?

Answer: LCM of 687, 208, 217 is 31008432.

2. What are the Factors of 31008432?

Answer: Factors of 31008432 are . There are integers that are factors of 31008432

3. How to Find the LCM of 687, 208, 217 ?

Least Common Multiple of 687, 208, 217.

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(687, 208, 217) = 2 x 2 x 2 x 2 x 3 x 7 x 13 x 31 x 229 = 31008432.