Least Common Multiple of 76/754, 11/990, 119/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/754, 11/990, 119/708 quickly i.e. 49742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/754, 11/990, 119/708 is 49742.

LCM(76/754, 11/990, 119/708) = 49742

LCM of 76/754, 11/990, 119/708

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 76/754,11/990,119/708

Given numbers are 76/754,11/990,119/708

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 76,11,119

Least Common Multiple of Numerators i.e. LCM of 76,11,119 is 99484.

GCF of Denominators means GCF of 754,990,708 as per the given fractions.

GCF of 754,990,708 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,11,119

LCM of Fractions 76/754,11/990,119/708 is 49742

Given numbers has no common factors except 1. So, there LCM is their product i.e 99484

Least Common Multiple of 76,11,119 with GCF Formula

Least Common Multiple of 76,11,119 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 76,11,119 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,11,119) = 1

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

GCF(76,11,119) x common factors =1 x 1 = 1

LCM(76,11,119) = ( 76 × 11 × 119 ) / 1

LCM(76,11,119) = 99484 / 1

LCM(76,11,119) = 99484


Lets's calculate GCF of 754,990,708

2 754, 990, 708
377, 495, 354

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 99484/2

Therefore the LCM of Fractions 76/754,11/990,119/708 is 49742

Greatest Common Factor of 754,990,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,990,708 By Matching Biggest Common Factor Method

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 754,990,708 . The biggest common factor number is the GCF number.
So the greatest common factor 754,990,708 is 2.


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 76/754, 11/990, 119/708

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 76/754, 11/990, 119/708?

Answer: LCM of Numerators as per given numbers 76/754, 11/990, 119/708 is

LCM of Numerators i.e. for 76,11,119 is 99484

GCF of denominators i.e. for 754,990,708 is 2.

Thus, LCM of Fractions is 49742.Finally, LCM of Fractions for 76/754, 11/990, 119/708 is 49742.