Least Common Multiple of 872/96, 727/37, 720/325

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 872/96, 727/37, 720/325 quickly i.e. 57054960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 872/96, 727/37, 720/325 is 57054960.

LCM(872/96, 727/37, 720/325) = 57054960

LCM of 872/96, 727/37, 720/325

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 872/96,727/37,720/325

Given numbers are 872/96,727/37,720/325

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 872,727,720

Least Common Multiple of Numerators i.e. LCM of 872,727,720 is 57054960.

GCF of Denominators means GCF of 96,37,325 as per the given fractions.

GCF of 96,37,325 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 872,727,720

LCM of Fractions 872/96,727/37,720/325 is 57054960

2 872, 727, 720
2 436, 727, 360
2 218, 727, 180
109, 727, 90

∴ So the LCM of the given numbers is 2 x 2 x 2 x 109 x 727 x 90 = 57054960

Least Common Multiple of 872,727,720 with GCF Formula

Least Common Multiple of 872,727,720 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 872,727,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,727,720) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(872,727,720) x common factors =1 x 8 = 8

LCM(872,727,720) = ( 872 × 727 × 720 ) / 8

LCM(872,727,720) = 456439680 / 8

LCM(872,727,720) = 57054960


Lets's calculate GCF of 96,37,325

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57054960/1

Therefore the LCM of Fractions 872/96,727/37,720/325 is 57054960

Greatest Common Factor of 96,37,325 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,37,325 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Greatest Common Factor

We found the factors 96,37,325 . The biggest common factor number is the GCF number.
So the greatest common factor 96,37,325 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 872/96, 727/37, 720/325

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 872/96, 727/37, 720/325?

Answer: LCM of Numerators as per given numbers 872/96, 727/37, 720/325 is

LCM of Numerators i.e. for 872,727,720 is 57054960

GCF of denominators i.e. for 96,37,325 is 1.

Thus, LCM of Fractions is 57054960.Finally, LCM of Fractions for 872/96, 727/37, 720/325 is 57054960.