Least Common Multiple of 96/872, 542/720, 198/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/872, 542/720, 198/348 quickly i.e. 214632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/872, 542/720, 198/348 is 214632.

LCM(96/872, 542/720, 198/348) = 214632

LCM of 96/872, 542/720, 198/348

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 96/872,542/720,198/348

Given numbers are 96/872,542/720,198/348

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 96,542,198

Least Common Multiple of Numerators i.e. LCM of 96,542,198 is 858528.

GCF of Denominators means GCF of 872,720,348 as per the given fractions.

GCF of 872,720,348 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,542,198

LCM of Fractions 96/872,542/720,198/348 is 214632

2 96, 542, 198
3 48, 271, 99
16, 271, 33

∴ So the LCM of the given numbers is 2 x 3 x 16 x 271 x 33 = 858528

Least Common Multiple of 96,542,198 with GCF Formula

Least Common Multiple of 96,542,198 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 96,542,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,542,198) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(96,542,198) x common factors =2 x 6 = 12

LCM(96,542,198) = ( 96 × 542 × 198 ) / 12

LCM(96,542,198) = 10302336 / 12

LCM(96,542,198) = 858528


Lets's calculate GCF of 872,720,348

2 872, 720, 348
2 436, 360, 174
218, 180, 87

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 858528/4

Therefore the LCM of Fractions 96/872,542/720,198/348 is 214632

Greatest Common Factor of 872,720,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 872,720,348 By Matching Biggest Common Factor Method

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 872,720,348 . The biggest common factor number is the GCF number.
So the greatest common factor 872,720,348 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 96/872, 542/720, 198/348

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 96/872, 542/720, 198/348?

Answer: LCM of Numerators as per given numbers 96/872, 542/720, 198/348 is

LCM of Numerators i.e. for 96,542,198 is 858528

GCF of denominators i.e. for 872,720,348 is 4.

Thus, LCM of Fractions is 214632.Finally, LCM of Fractions for 96/872, 542/720, 198/348 is 214632.