Least Common Multiple of 8237/120, 8754/2388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8237/120, 8754/2388 quickly i.e. 72106698/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8237/120, 8754/2388 is 72106698/12.

LCM(8237/120, 8754/2388) = 72106698/12

LCM of 8237/120, 8754/2388

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 8237/120,8754/2388

Given numbers are 8237/120,8754/2388

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 8237,8754

Least Common Multiple of Numerators i.e. LCM of 8237,8754 is 72106698.

GCF of Denominators means GCF of 120,2388 as per the given fractions.

GCF of 120,2388 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8237,8754

LCM of Fractions 8237/120,8754/2388 is 72106698/12

Given numbers has no common factors except 1. So, there LCM is their product i.e 72106698

Least Common Multiple of 8237,8754 with GCF Formula

Least Common Multiple of 8237,8754 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 8237,8754 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8237,8754) = 1

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

GCF(8237,8754) x common factors =1 x 1 = 1

LCM(8237,8754) = ( 8237 × 8754 ) / 1

LCM(8237,8754) = 72106698 / 1

LCM(8237,8754) = 72106698


Lets's calculate GCF of 120,2388

2 120, 2388
2 60, 1194
3 30, 597
10, 199

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72106698/12

Therefore the LCM of Fractions 8237/120,8754/2388 is 72106698/12

Greatest Common Factor of 120,2388 By Matching Biggest Common Factor Method

Greatest Common Factor of 120,2388 By Matching Biggest Common Factor Method

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Factors of 2388

List of positive integer factors of 2388 that divides 2388 without a remainder.

1,2,3,4,6,12,199,398,597,796,1194,2388

Greatest Common Factor

We found the factors 120,2388 . The biggest common factor number is the GCF number.
So the greatest common factor 120,2388 is 12.


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 8237/120, 8754/2388

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 8237/120, 8754/2388?

Answer: LCM of Numerators as per given numbers 8237/120, 8754/2388 is

LCM of Numerators i.e. for 8237,8754 is 72106698

GCF of denominators i.e. for 120,2388 is 12.

Thus, LCM of Fractions is 72106698/12.Finally, LCM of Fractions for 8237/120, 8754/2388 is 72106698/12.