Least Common Multiple of 270/35, 491/5363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 270/35, 491/5363 quickly i.e. 132570 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 270/35, 491/5363 is 132570.

LCM(270/35, 491/5363) = 132570

LCM of 270/35, 491/5363

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 270/35,491/5363

Given numbers are 270/35,491/5363

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 270,491

Least Common Multiple of Numerators i.e. LCM of 270,491 is 132570.

GCF of Denominators means GCF of 35,5363 as per the given fractions.

GCF of 35,5363 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 270,491

LCM of Fractions 270/35,491/5363 is 132570

Given numbers has no common factors except 1. So, there LCM is their product i.e 132570

Least Common Multiple of 270,491 with GCF Formula

Least Common Multiple of 270,491 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 270,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,491) = 1

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

GCF(270,491) x common factors =1 x 1 = 1

LCM(270,491) = ( 270 × 491 ) / 1

LCM(270,491) = 132570 / 1

LCM(270,491) = 132570


Lets's calculate GCF of 35,5363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132570/1

Therefore the LCM of Fractions 270/35,491/5363 is 132570

Greatest Common Factor of 35,5363 By Matching Biggest Common Factor Method

Greatest Common Factor of 35,5363 By Matching Biggest Common Factor Method

Factors of 35

List of positive integer factors of 35 that divides 35 without a remainder.

1,5,7,35

Factors of 5363

List of positive integer factors of 5363 that divides 5363 without a remainder.

1,31,173,5363

Greatest Common Factor

We found the factors 35,5363 . The biggest common factor number is the GCF number.
So the greatest common factor 35,5363 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 270/35, 491/5363

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 270/35, 491/5363?

Answer: LCM of Numerators as per given numbers 270/35, 491/5363 is

LCM of Numerators i.e. for 270,491 is 132570

GCF of denominators i.e. for 35,5363 is 1.

Thus, LCM of Fractions is 132570.Finally, LCM of Fractions for 270/35, 491/5363 is 132570.