Least Common Multiple of 766/988, 402/591, 149/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 766/988, 402/591, 149/708 quickly i.e. 22940934 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 766/988, 402/591, 149/708 is 22940934.

LCM(766/988, 402/591, 149/708) = 22940934

LCM of 766/988, 402/591, 149/708

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 766/988,402/591,149/708

Given numbers are 766/988,402/591,149/708

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 766,402,149

Least Common Multiple of Numerators i.e. LCM of 766,402,149 is 22940934.

GCF of Denominators means GCF of 988,591,708 as per the given fractions.

GCF of 988,591,708 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 766,402,149

LCM of Fractions 766/988,402/591,149/708 is 22940934

2 766, 402, 149
383, 201, 149

∴ So the LCM of the given numbers is 2 x 383 x 201 x 149 = 22940934

Least Common Multiple of 766,402,149 with GCF Formula

Least Common Multiple of 766,402,149 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 766,402,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,402,149) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(766,402,149) x common factors =1 x 2 = 2

LCM(766,402,149) = ( 766 × 402 × 149 ) / 2

LCM(766,402,149) = 45881868 / 2

LCM(766,402,149) = 22940934


Lets's calculate GCF of 988,591,708

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22940934/1

Therefore the LCM of Fractions 766/988,402/591,149/708 is 22940934

Greatest Common Factor of 988,591,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,591,708 By Matching Biggest Common Factor Method

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

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 988,591,708 . The biggest common factor number is the GCF number.
So the greatest common factor 988,591,708 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 766/988, 402/591, 149/708

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 766/988, 402/591, 149/708?

Answer: LCM of Numerators as per given numbers 766/988, 402/591, 149/708 is

LCM of Numerators i.e. for 766,402,149 is 22940934

GCF of denominators i.e. for 988,591,708 is 1.

Thus, LCM of Fractions is 22940934.Finally, LCM of Fractions for 766/988, 402/591, 149/708 is 22940934.