Least Common Multiple of 750/96, 2500/177

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 750/96, 2500/177 quickly i.e. 2500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 750/96, 2500/177 is 2500.

LCM(750/96, 2500/177) = 2500

LCM of 750/96, 2500/177

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 750/96,2500/177

Given numbers are 750/96,2500/177

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 750,2500

Least Common Multiple of Numerators i.e. LCM of 750,2500 is 7500.

GCF of Denominators means GCF of 96,177 as per the given fractions.

GCF of 96,177 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 750,2500

LCM of Fractions 750/96,2500/177 is 2500

2 750, 2500
5 375, 1250
5 75, 250
5 15, 50
3, 10

∴ So the LCM of the given numbers is 2 x 5 x 5 x 5 x 3 x 10 = 7500

Least Common Multiple of 750,2500 with GCF Formula

Least Common Multiple of 750,2500 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 750,2500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,2500) = 250

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

GCF(750,2500) x common factors =250 x 1 = 250

LCM(750,2500) = ( 750 × 2500 ) / 250

LCM(750,2500) = 1875000 / 250

LCM(750,2500) = 7500


Lets's calculate GCF of 96,177

3 96, 177
32, 59

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7500/3

Therefore the LCM of Fractions 750/96,2500/177 is 2500

Greatest Common Factor of 96,177 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,177 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 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Greatest Common Factor

We found the factors 96,177 . The biggest common factor number is the GCF number.
So the greatest common factor 96,177 is 3.


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 750/96, 2500/177

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 750/96, 2500/177?

Answer: LCM of Numerators as per given numbers 750/96, 2500/177 is

LCM of Numerators i.e. for 750,2500 is 7500

GCF of denominators i.e. for 96,177 is 3.

Thus, LCM of Fractions is 2500.Finally, LCM of Fractions for 750/96, 2500/177 is 2500.