Least Common Multiple of 687/217, 608/659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 687/217, 608/659 quickly i.e. 417696 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 687/217, 608/659 is 417696.

LCM(687/217, 608/659) = 417696

LCM of 687/217, 608/659

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 687/217,608/659

Given numbers are 687/217,608/659

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 687,608

Least Common Multiple of Numerators i.e. LCM of 687,608 is 417696.

GCF of Denominators means GCF of 217,659 as per the given fractions.

GCF of 217,659 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 687,608

LCM of Fractions 687/217,608/659 is 417696

Given numbers has no common factors except 1. So, there LCM is their product i.e 417696

Least Common Multiple of 687,608 with GCF Formula

Least Common Multiple of 687,608 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 687,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(687,608) = 1

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

GCF(687,608) x common factors =1 x 1 = 1

LCM(687,608) = ( 687 × 608 ) / 1

LCM(687,608) = 417696 / 1

LCM(687,608) = 417696


Lets's calculate GCF of 217,659

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 417696/1

Therefore the LCM of Fractions 687/217,608/659 is 417696

Greatest Common Factor of 217,659 By Matching Biggest Common Factor Method

Greatest Common Factor of 217,659 By Matching Biggest Common Factor Method

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 659

List of positive integer factors of 659 that divides 659 without a remainder.

1,659

Greatest Common Factor

We found the factors 217,659 . The biggest common factor number is the GCF number.
So the greatest common factor 217,659 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 687/217, 608/659

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 687/217, 608/659?

Answer: LCM of Numerators as per given numbers 687/217, 608/659 is

LCM of Numerators i.e. for 687,608 is 417696

GCF of denominators i.e. for 217,659 is 1.

Thus, LCM of Fractions is 417696.Finally, LCM of Fractions for 687/217, 608/659 is 417696.