Least Common Multiple of 68/249, 3159/3537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/249, 3159/3537 quickly i.e. 71604 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/249, 3159/3537 is 71604.

LCM(68/249, 3159/3537) = 71604

LCM of 68/249, 3159/3537

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 68/249,3159/3537

Given numbers are 68/249,3159/3537

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 68,3159

Least Common Multiple of Numerators i.e. LCM of 68,3159 is 214812.

GCF of Denominators means GCF of 249,3537 as per the given fractions.

GCF of 249,3537 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,3159

LCM of Fractions 68/249,3159/3537 is 71604

Given numbers has no common factors except 1. So, there LCM is their product i.e 214812

Least Common Multiple of 68,3159 with GCF Formula

Least Common Multiple of 68,3159 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 68,3159 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,3159) = 1

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

GCF(68,3159) x common factors =1 x 1 = 1

LCM(68,3159) = ( 68 × 3159 ) / 1

LCM(68,3159) = 214812 / 1

LCM(68,3159) = 214812


Lets's calculate GCF of 249,3537

3 249, 3537
83, 1179

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 214812/3

Therefore the LCM of Fractions 68/249,3159/3537 is 71604

Greatest Common Factor of 249,3537 By Matching Biggest Common Factor Method

Greatest Common Factor of 249,3537 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 3537

List of positive integer factors of 3537 that divides 3537 without a remainder.

1,3,9,27,131,393,1179,3537

Greatest Common Factor

We found the factors 249,3537 . The biggest common factor number is the GCF number.
So the greatest common factor 249,3537 is 3.


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 68/249, 3159/3537

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 68/249, 3159/3537?

Answer: LCM of Numerators as per given numbers 68/249, 3159/3537 is

LCM of Numerators i.e. for 68,3159 is 214812

GCF of denominators i.e. for 249,3537 is 3.

Thus, LCM of Fractions is 71604.Finally, LCM of Fractions for 68/249, 3159/3537 is 71604.