Least Common Multiple of 647/249, 420/808

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 647/249, 420/808 quickly i.e. 271740 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 647/249, 420/808 is 271740.

LCM(647/249, 420/808) = 271740

LCM of 647/249, 420/808

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 647/249,420/808

Given numbers are 647/249,420/808

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 647,420

Least Common Multiple of Numerators i.e. LCM of 647,420 is 271740.

GCF of Denominators means GCF of 249,808 as per the given fractions.

GCF of 249,808 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 647,420

LCM of Fractions 647/249,420/808 is 271740

Given numbers has no common factors except 1. So, there LCM is their product i.e 271740

Least Common Multiple of 647,420 with GCF Formula

Least Common Multiple of 647,420 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 647,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(647,420) = 1

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

GCF(647,420) x common factors =1 x 1 = 1

LCM(647,420) = ( 647 × 420 ) / 1

LCM(647,420) = 271740 / 1

LCM(647,420) = 271740


Lets's calculate GCF of 249,808

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 271740/1

Therefore the LCM of Fractions 647/249,420/808 is 271740

Greatest Common Factor of 249,808 By Matching Biggest Common Factor Method

Greatest Common Factor of 249,808 By Matching Biggest Common Factor Method

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Greatest Common Factor

We found the factors 249,808 . The biggest common factor number is the GCF number.
So the greatest common factor 249,808 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 647/249, 420/808

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 647/249, 420/808?

Answer: LCM of Numerators as per given numbers 647/249, 420/808 is

LCM of Numerators i.e. for 647,420 is 271740

GCF of denominators i.e. for 249,808 is 1.

Thus, LCM of Fractions is 271740.Finally, LCM of Fractions for 647/249, 420/808 is 271740.