Least Common Multiple of 270/676, 4031/4108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 270/676, 4031/4108 quickly i.e. 1088370/52 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 270/676, 4031/4108 is 1088370/52.

LCM(270/676, 4031/4108) = 1088370/52

LCM of 270/676, 4031/4108

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 270/676,4031/4108

Given numbers are 270/676,4031/4108

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 270,4031

Least Common Multiple of Numerators i.e. LCM of 270,4031 is 1088370.

GCF of Denominators means GCF of 676,4108 as per the given fractions.

GCF of 676,4108 is 52 as it is the largest common factor for these numbers.

Lets's calculate LCM of 270,4031

LCM of Fractions 270/676,4031/4108 is 1088370/52

Given numbers has no common factors except 1. So, there LCM is their product i.e 1088370

Least Common Multiple of 270,4031 with GCF Formula

Least Common Multiple of 270,4031 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 270,4031 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,4031) = 1

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

GCF(270,4031) x common factors =1 x 1 = 1

LCM(270,4031) = ( 270 × 4031 ) / 1

LCM(270,4031) = 1088370 / 1

LCM(270,4031) = 1088370


Lets's calculate GCF of 676,4108

2 676, 4108
2 338, 2054
13 169, 1027
13, 79

∴ So the GCF of the given numbers is 2 x 2 x 13 = 52

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1088370/52

Therefore the LCM of Fractions 270/676,4031/4108 is 1088370/52

Greatest Common Factor of 676,4108 By Matching Biggest Common Factor Method

Greatest Common Factor of 676,4108 By Matching Biggest Common Factor Method

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Factors of 4108

List of positive integer factors of 4108 that divides 4108 without a remainder.

1,2,4,13,26,52,79,158,316,1027,2054,4108

Greatest Common Factor

We found the factors 676,4108 . The biggest common factor number is the GCF number.
So the greatest common factor 676,4108 is 52.


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 270/676, 4031/4108

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 270/676, 4031/4108?

Answer: LCM of Numerators as per given numbers 270/676, 4031/4108 is

LCM of Numerators i.e. for 270,4031 is 1088370

GCF of denominators i.e. for 676,4108 is 52.

Thus, LCM of Fractions is 1088370/52.Finally, LCM of Fractions for 270/676, 4031/4108 is 1088370/52.