Least Common Multiple of 9101/961, 3488/5752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9101/961, 3488/5752 quickly i.e. 31744288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9101/961, 3488/5752 is 31744288.

LCM(9101/961, 3488/5752) = 31744288

LCM of 9101/961, 3488/5752

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 9101/961,3488/5752

Given numbers are 9101/961,3488/5752

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 9101,3488

Least Common Multiple of Numerators i.e. LCM of 9101,3488 is 31744288.

GCF of Denominators means GCF of 961,5752 as per the given fractions.

GCF of 961,5752 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9101,3488

LCM of Fractions 9101/961,3488/5752 is 31744288

Given numbers has no common factors except 1. So, there LCM is their product i.e 31744288

Least Common Multiple of 9101,3488 with GCF Formula

Least Common Multiple of 9101,3488 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 9101,3488 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9101,3488) = 1

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

GCF(9101,3488) x common factors =1 x 1 = 1

LCM(9101,3488) = ( 9101 × 3488 ) / 1

LCM(9101,3488) = 31744288 / 1

LCM(9101,3488) = 31744288


Lets's calculate GCF of 961,5752

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31744288/1

Therefore the LCM of Fractions 9101/961,3488/5752 is 31744288

Greatest Common Factor of 961,5752 By Matching Biggest Common Factor Method

Greatest Common Factor of 961,5752 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 5752

List of positive integer factors of 5752 that divides 5752 without a remainder.

1,2,4,8,719,1438,2876,5752

Greatest Common Factor

We found the factors 961,5752 . The biggest common factor number is the GCF number.
So the greatest common factor 961,5752 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 9101/961, 3488/5752

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 9101/961, 3488/5752?

Answer: LCM of Numerators as per given numbers 9101/961, 3488/5752 is

LCM of Numerators i.e. for 9101,3488 is 31744288

GCF of denominators i.e. for 961,5752 is 1.

Thus, LCM of Fractions is 31744288.Finally, LCM of Fractions for 9101/961, 3488/5752 is 31744288.