Least Common Multiple of 96/51, 568/38, 296/231

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/51, 568/38, 296/231 quickly i.e. 252192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/51, 568/38, 296/231 is 252192.

LCM(96/51, 568/38, 296/231) = 252192

LCM of 96/51, 568/38, 296/231

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 96/51,568/38,296/231

Given numbers are 96/51,568/38,296/231

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 96,568,296

Least Common Multiple of Numerators i.e. LCM of 96,568,296 is 252192.

GCF of Denominators means GCF of 51,38,231 as per the given fractions.

GCF of 51,38,231 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,568,296

LCM of Fractions 96/51,568/38,296/231 is 252192

2 96, 568, 296
2 48, 284, 148
2 24, 142, 74
12, 71, 37

∴ So the LCM of the given numbers is 2 x 2 x 2 x 12 x 71 x 37 = 252192

Least Common Multiple of 96,568,296 with GCF Formula

Least Common Multiple of 96,568,296 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 96,568,296 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,568,296) = 8

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

GCF(96,568,296) x common factors =8 x 8 = 64

LCM(96,568,296) = ( 96 × 568 × 296 ) / 64

LCM(96,568,296) = 16140288 / 64

LCM(96,568,296) = 252192


Lets's calculate GCF of 51,38,231

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252192/1

Therefore the LCM of Fractions 96/51,568/38,296/231 is 252192

Greatest Common Factor of 51,38,231 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,38,231 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 231

List of positive integer factors of 231 that divides 231 without a remainder.

1,3,7,11,21,33,77,231

Greatest Common Factor

We found the factors 51,38,231 . The biggest common factor number is the GCF number.
So the greatest common factor 51,38,231 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 96/51, 568/38, 296/231

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 96/51, 568/38, 296/231?

Answer: LCM of Numerators as per given numbers 96/51, 568/38, 296/231 is

LCM of Numerators i.e. for 96,568,296 is 252192

GCF of denominators i.e. for 51,38,231 is 1.

Thus, LCM of Fractions is 252192.Finally, LCM of Fractions for 96/51, 568/38, 296/231 is 252192.