Least Common Multiple of 96/757, 132/862, 680/254

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/757, 132/862, 680/254 quickly i.e. 89760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/757, 132/862, 680/254 is 89760.

LCM(96/757, 132/862, 680/254) = 89760

LCM of 96/757, 132/862, 680/254

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 96/757,132/862,680/254

Given numbers are 96/757,132/862,680/254

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 96,132,680

Least Common Multiple of Numerators i.e. LCM of 96,132,680 is 89760.

GCF of Denominators means GCF of 757,862,254 as per the given fractions.

GCF of 757,862,254 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,132,680

LCM of Fractions 96/757,132/862,680/254 is 89760

2 96, 132, 680
2 48, 66, 340
2 24, 33, 170
3 12, 33, 85
4, 11, 85

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 4 x 11 x 85 = 89760

Least Common Multiple of 96,132,680 with GCF Formula

Least Common Multiple of 96,132,680 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 96,132,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,132,680) = 4

common factors(in case of two or more numbers have common factors) = 24

GCF(96,132,680) x common factors =4 x 24 = 96

LCM(96,132,680) = ( 96 × 132 × 680 ) / 96

LCM(96,132,680) = 8616960 / 96

LCM(96,132,680) = 89760


Lets's calculate GCF of 757,862,254

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89760/1

Therefore the LCM of Fractions 96/757,132/862,680/254 is 89760

Greatest Common Factor of 757,862,254 By Matching Biggest Common Factor Method

Greatest Common Factor of 757,862,254 By Matching Biggest Common Factor Method

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Greatest Common Factor

We found the factors 757,862,254 . The biggest common factor number is the GCF number.
So the greatest common factor 757,862,254 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 96/757, 132/862, 680/254

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 96/757, 132/862, 680/254?

Answer: LCM of Numerators as per given numbers 96/757, 132/862, 680/254 is

LCM of Numerators i.e. for 96,132,680 is 89760

GCF of denominators i.e. for 757,862,254 is 1.

Thus, LCM of Fractions is 89760.Finally, LCM of Fractions for 96/757, 132/862, 680/254 is 89760.