Least Common Multiple of 991/76, 167/24, 309/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 991/76, 167/24, 309/655 quickly i.e. 51138573 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 991/76, 167/24, 309/655 is 51138573.

LCM(991/76, 167/24, 309/655) = 51138573

LCM of 991/76, 167/24, 309/655

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 991/76,167/24,309/655

Given numbers are 991/76,167/24,309/655

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 991,167,309

Least Common Multiple of Numerators i.e. LCM of 991,167,309 is 51138573.

GCF of Denominators means GCF of 76,24,655 as per the given fractions.

GCF of 76,24,655 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 991,167,309

LCM of Fractions 991/76,167/24,309/655 is 51138573

Given numbers has no common factors except 1. So, there LCM is their product i.e 51138573

Least Common Multiple of 991,167,309 with GCF Formula

Least Common Multiple of 991,167,309 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 991,167,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(991,167,309) = 1

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

GCF(991,167,309) x common factors =1 x 1 = 1

LCM(991,167,309) = ( 991 × 167 × 309 ) / 1

LCM(991,167,309) = 51138573 / 1

LCM(991,167,309) = 51138573


Lets's calculate GCF of 76,24,655

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51138573/1

Therefore the LCM of Fractions 991/76,167/24,309/655 is 51138573

Greatest Common Factor of 76,24,655 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,24,655 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Greatest Common Factor

We found the factors 76,24,655 . The biggest common factor number is the GCF number.
So the greatest common factor 76,24,655 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 991/76, 167/24, 309/655

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 991/76, 167/24, 309/655?

Answer: LCM of Numerators as per given numbers 991/76, 167/24, 309/655 is

LCM of Numerators i.e. for 991,167,309 is 51138573

GCF of denominators i.e. for 76,24,655 is 1.

Thus, LCM of Fractions is 51138573.Finally, LCM of Fractions for 991/76, 167/24, 309/655 is 51138573.