Least Common Multiple of 76/97, 324/95, 151/819

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/97, 324/95, 151/819 quickly i.e. 929556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/97, 324/95, 151/819 is 929556.

LCM(76/97, 324/95, 151/819) = 929556

LCM of 76/97, 324/95, 151/819

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 76/97,324/95,151/819

Given numbers are 76/97,324/95,151/819

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 76,324,151

Least Common Multiple of Numerators i.e. LCM of 76,324,151 is 929556.

GCF of Denominators means GCF of 97,95,819 as per the given fractions.

GCF of 97,95,819 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,324,151

LCM of Fractions 76/97,324/95,151/819 is 929556

2 76, 324, 151
2 38, 162, 151
19, 81, 151

∴ So the LCM of the given numbers is 2 x 2 x 19 x 81 x 151 = 929556

Least Common Multiple of 76,324,151 with GCF Formula

Least Common Multiple of 76,324,151 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 76,324,151 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,324,151) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,324,151) x common factors =1 x 4 = 4

LCM(76,324,151) = ( 76 × 324 × 151 ) / 4

LCM(76,324,151) = 3718224 / 4

LCM(76,324,151) = 929556


Lets's calculate GCF of 97,95,819

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 929556/1

Therefore the LCM of Fractions 76/97,324/95,151/819 is 929556

Greatest Common Factor of 97,95,819 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,95,819 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Greatest Common Factor

We found the factors 97,95,819 . The biggest common factor number is the GCF number.
So the greatest common factor 97,95,819 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 76/97, 324/95, 151/819

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 76/97, 324/95, 151/819?

Answer: LCM of Numerators as per given numbers 76/97, 324/95, 151/819 is

LCM of Numerators i.e. for 76,324,151 is 929556

GCF of denominators i.e. for 97,95,819 is 1.

Thus, LCM of Fractions is 929556.Finally, LCM of Fractions for 76/97, 324/95, 151/819 is 929556.