Least Common Multiple of 31/755, 5635/6061

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/755, 5635/6061 quickly i.e. 174685 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/755, 5635/6061 is 174685.

LCM(31/755, 5635/6061) = 174685

LCM of 31/755, 5635/6061

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 31/755,5635/6061

Given numbers are 31/755,5635/6061

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 31,5635

Least Common Multiple of Numerators i.e. LCM of 31,5635 is 174685.

GCF of Denominators means GCF of 755,6061 as per the given fractions.

GCF of 755,6061 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,5635

LCM of Fractions 31/755,5635/6061 is 174685

Given numbers has no common factors except 1. So, there LCM is their product i.e 174685

Least Common Multiple of 31,5635 with GCF Formula

Least Common Multiple of 31,5635 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 31,5635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,5635) = 1

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

GCF(31,5635) x common factors =1 x 1 = 1

LCM(31,5635) = ( 31 × 5635 ) / 1

LCM(31,5635) = 174685 / 1

LCM(31,5635) = 174685


Lets's calculate GCF of 755,6061

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174685/1

Therefore the LCM of Fractions 31/755,5635/6061 is 174685

Greatest Common Factor of 755,6061 By Matching Biggest Common Factor Method

Greatest Common Factor of 755,6061 By Matching Biggest Common Factor Method

Factors of 755

List of positive integer factors of 755 that divides 755 without a remainder.

1,5,151,755

Factors of 6061

List of positive integer factors of 6061 that divides 6061 without a remainder.

1,11,19,29,209,319,551,6061

Greatest Common Factor

We found the factors 755,6061 . The biggest common factor number is the GCF number.
So the greatest common factor 755,6061 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 31/755, 5635/6061

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 31/755, 5635/6061?

Answer: LCM of Numerators as per given numbers 31/755, 5635/6061 is

LCM of Numerators i.e. for 31,5635 is 174685

GCF of denominators i.e. for 755,6061 is 1.

Thus, LCM of Fractions is 174685.Finally, LCM of Fractions for 31/755, 5635/6061 is 174685.