Least Common Multiple of 92/576, 7608/9976

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 92/576, 7608/9976 quickly i.e. 21873 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 92/576, 7608/9976 is 21873.

LCM(92/576, 7608/9976) = 21873

LCM of 92/576, 7608/9976

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 92/576,7608/9976

Given numbers are 92/576,7608/9976

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 92,7608

Least Common Multiple of Numerators i.e. LCM of 92,7608 is 174984.

GCF of Denominators means GCF of 576,9976 as per the given fractions.

GCF of 576,9976 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 92,7608

LCM of Fractions 92/576,7608/9976 is 21873

2 92, 7608
2 46, 3804
23, 1902

∴ So the LCM of the given numbers is 2 x 2 x 23 x 1902 = 174984

Least Common Multiple of 92,7608 with GCF Formula

Least Common Multiple of 92,7608 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 92,7608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,7608) = 4

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

GCF(92,7608) x common factors =4 x 1 = 4

LCM(92,7608) = ( 92 × 7608 ) / 4

LCM(92,7608) = 699936 / 4

LCM(92,7608) = 174984


Lets's calculate GCF of 576,9976

2 576, 9976
2 288, 4988
2 144, 2494
72, 1247

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174984/8

Therefore the LCM of Fractions 92/576,7608/9976 is 21873

Greatest Common Factor of 576,9976 By Matching Biggest Common Factor Method

Greatest Common Factor of 576,9976 By Matching Biggest Common Factor Method

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 9976

List of positive integer factors of 9976 that divides 9976 without a remainder.

1,2,4,8,29,43,58,86,116,172,232,344,1247,2494,4988,9976

Greatest Common Factor

We found the factors 576,9976 . The biggest common factor number is the GCF number.
So the greatest common factor 576,9976 is 8.


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 92/576, 7608/9976

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 92/576, 7608/9976?

Answer: LCM of Numerators as per given numbers 92/576, 7608/9976 is

LCM of Numerators i.e. for 92,7608 is 174984

GCF of denominators i.e. for 576,9976 is 8.

Thus, LCM of Fractions is 21873.Finally, LCM of Fractions for 92/576, 7608/9976 is 21873.