Least Common Multiple of 114/875, 8751/3380

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/875, 8751/3380 quickly i.e. 332538/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/875, 8751/3380 is 332538/5.

LCM(114/875, 8751/3380) = 332538/5

LCM of 114/875, 8751/3380

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 114/875,8751/3380

Given numbers are 114/875,8751/3380

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 114,8751

Least Common Multiple of Numerators i.e. LCM of 114,8751 is 332538.

GCF of Denominators means GCF of 875,3380 as per the given fractions.

GCF of 875,3380 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,8751

LCM of Fractions 114/875,8751/3380 is 332538/5

3 114, 8751
38, 2917

∴ So the LCM of the given numbers is 3 x 38 x 2917 = 332538

Least Common Multiple of 114,8751 with GCF Formula

Least Common Multiple of 114,8751 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 114,8751 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,8751) = 3

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

GCF(114,8751) x common factors =3 x 1 = 3

LCM(114,8751) = ( 114 × 8751 ) / 3

LCM(114,8751) = 997614 / 3

LCM(114,8751) = 332538


Lets's calculate GCF of 875,3380

5 875, 3380
175, 676

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 332538/5

Therefore the LCM of Fractions 114/875,8751/3380 is 332538/5

Greatest Common Factor of 875,3380 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,3380 By Matching Biggest Common Factor Method

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 3380

List of positive integer factors of 3380 that divides 3380 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,169,260,338,676,845,1690,3380

Greatest Common Factor

We found the factors 875,3380 . The biggest common factor number is the GCF number.
So the greatest common factor 875,3380 is 5.


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 114/875, 8751/3380

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 114/875, 8751/3380?

Answer: LCM of Numerators as per given numbers 114/875, 8751/3380 is

LCM of Numerators i.e. for 114,8751 is 332538

GCF of denominators i.e. for 875,3380 is 5.

Thus, LCM of Fractions is 332538/5.Finally, LCM of Fractions for 114/875, 8751/3380 is 332538/5.