Least Common Multiple of 96/176, 5577/2140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/176, 5577/2140 quickly i.e. 44616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/176, 5577/2140 is 44616.

LCM(96/176, 5577/2140) = 44616

LCM of 96/176, 5577/2140

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 96/176,5577/2140

Given numbers are 96/176,5577/2140

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 96,5577

Least Common Multiple of Numerators i.e. LCM of 96,5577 is 178464.

GCF of Denominators means GCF of 176,2140 as per the given fractions.

GCF of 176,2140 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,5577

LCM of Fractions 96/176,5577/2140 is 44616

3 96, 5577
32, 1859

∴ So the LCM of the given numbers is 3 x 32 x 1859 = 178464

Least Common Multiple of 96,5577 with GCF Formula

Least Common Multiple of 96,5577 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 96,5577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,5577) = 3

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

GCF(96,5577) x common factors =3 x 1 = 3

LCM(96,5577) = ( 96 × 5577 ) / 3

LCM(96,5577) = 535392 / 3

LCM(96,5577) = 178464


Lets's calculate GCF of 176,2140

2 176, 2140
2 88, 1070
44, 535

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178464/4

Therefore the LCM of Fractions 96/176,5577/2140 is 44616

Greatest Common Factor of 176,2140 By Matching Biggest Common Factor Method

Greatest Common Factor of 176,2140 By Matching Biggest Common Factor Method

Factors of 176

List of positive integer factors of 176 that divides 176 without a remainder.

1,2,4,8,11,16,22,44,88,176

Factors of 2140

List of positive integer factors of 2140 that divides 2140 without a remainder.

1,2,4,5,10,20,107,214,428,535,1070,2140

Greatest Common Factor

We found the factors 176,2140 . The biggest common factor number is the GCF number.
So the greatest common factor 176,2140 is 4.


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 96/176, 5577/2140

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 96/176, 5577/2140?

Answer: LCM of Numerators as per given numbers 96/176, 5577/2140 is

LCM of Numerators i.e. for 96,5577 is 178464

GCF of denominators i.e. for 176,2140 is 4.

Thus, LCM of Fractions is 44616.Finally, LCM of Fractions for 96/176, 5577/2140 is 44616.