Least Common Multiple of 91/961, 5062/6572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/961, 5062/6572 quickly i.e. 460642/31 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/961, 5062/6572 is 460642/31.

LCM(91/961, 5062/6572) = 460642/31

LCM of 91/961, 5062/6572

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 91/961,5062/6572

Given numbers are 91/961,5062/6572

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 91,5062

Least Common Multiple of Numerators i.e. LCM of 91,5062 is 460642.

GCF of Denominators means GCF of 961,6572 as per the given fractions.

GCF of 961,6572 is 31 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,5062

LCM of Fractions 91/961,5062/6572 is 460642/31

Given numbers has no common factors except 1. So, there LCM is their product i.e 460642

Least Common Multiple of 91,5062 with GCF Formula

Least Common Multiple of 91,5062 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 91,5062 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,5062) = 1

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

GCF(91,5062) x common factors =1 x 1 = 1

LCM(91,5062) = ( 91 × 5062 ) / 1

LCM(91,5062) = 460642 / 1

LCM(91,5062) = 460642


Lets's calculate GCF of 961,6572

31 961, 6572
31, 212

∴ So the GCF of the given numbers is 31 = 31

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 460642/31

Therefore the LCM of Fractions 91/961,5062/6572 is 460642/31

Greatest Common Factor of 961,6572 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,6572 By Matching Biggest Common Factor Method

Factors of 961

List of positive integer factors of 961 that divides 961 without a remainder.

1,31,961

Factors of 6572

List of positive integer factors of 6572 that divides 6572 without a remainder.

1,2,4,31,53,62,106,124,212,1643,3286,6572

Greatest Common Factor

We found the factors 961,6572 . The biggest common factor number is the GCF number.
So the greatest common factor 961,6572 is 31.


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 91/961, 5062/6572

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 91/961, 5062/6572?

Answer: LCM of Numerators as per given numbers 91/961, 5062/6572 is

LCM of Numerators i.e. for 91,5062 is 460642

GCF of denominators i.e. for 961,6572 is 31.

Thus, LCM of Fractions is 460642/31.Finally, LCM of Fractions for 91/961, 5062/6572 is 460642/31.