Least Common Multiple of 257/87, 317/6676

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 257/87, 317/6676 quickly i.e. 81469 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 257/87, 317/6676 is 81469.

LCM(257/87, 317/6676) = 81469

LCM of 257/87, 317/6676

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 257/87,317/6676

Given numbers are 257/87,317/6676

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 257,317

Least Common Multiple of Numerators i.e. LCM of 257,317 is 81469.

GCF of Denominators means GCF of 87,6676 as per the given fractions.

GCF of 87,6676 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 257,317

LCM of Fractions 257/87,317/6676 is 81469

Given numbers has no common factors except 1. So, there LCM is their product i.e 81469

Least Common Multiple of 257,317 with GCF Formula

Least Common Multiple of 257,317 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 257,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(257,317) = 1

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

GCF(257,317) x common factors =1 x 1 = 1

LCM(257,317) = ( 257 × 317 ) / 1

LCM(257,317) = 81469 / 1

LCM(257,317) = 81469


Lets's calculate GCF of 87,6676

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81469/1

Therefore the LCM of Fractions 257/87,317/6676 is 81469

Greatest Common Factor of 87,6676 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,6676 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 6676

List of positive integer factors of 6676 that divides 6676 without a remainder.

1,2,4,1669,3338,6676

Greatest Common Factor

We found the factors 87,6676 . The biggest common factor number is the GCF number.
So the greatest common factor 87,6676 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 257/87, 317/6676

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 257/87, 317/6676?

Answer: LCM of Numerators as per given numbers 257/87, 317/6676 is

LCM of Numerators i.e. for 257,317 is 81469

GCF of denominators i.e. for 87,6676 is 1.

Thus, LCM of Fractions is 81469.Finally, LCM of Fractions for 257/87, 317/6676 is 81469.