Least Common Multiple of 771/94, 676/38, 498/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 771/94, 676/38, 498/739 quickly i.e. 43259268 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 771/94, 676/38, 498/739 is 43259268.

LCM(771/94, 676/38, 498/739) = 43259268

LCM of 771/94, 676/38, 498/739

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 771/94,676/38,498/739

Given numbers are 771/94,676/38,498/739

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 771,676,498

Least Common Multiple of Numerators i.e. LCM of 771,676,498 is 43259268.

GCF of Denominators means GCF of 94,38,739 as per the given fractions.

GCF of 94,38,739 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 771,676,498

LCM of Fractions 771/94,676/38,498/739 is 43259268

2 771, 676, 498
3 771, 338, 249
257, 338, 83

∴ So the LCM of the given numbers is 2 x 3 x 257 x 338 x 83 = 43259268

Least Common Multiple of 771,676,498 with GCF Formula

Least Common Multiple of 771,676,498 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 771,676,498 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(771,676,498) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(771,676,498) x common factors =1 x 6 = 6

LCM(771,676,498) = ( 771 × 676 × 498 ) / 6

LCM(771,676,498) = 259555608 / 6

LCM(771,676,498) = 43259268


Lets's calculate GCF of 94,38,739

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43259268/1

Therefore the LCM of Fractions 771/94,676/38,498/739 is 43259268

Greatest Common Factor of 94,38,739 By Matching Biggest Common Factor Method

Greatest Common Factor of 94,38,739 By Matching Biggest Common Factor Method

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 38

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

1,2,19,38

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Greatest Common Factor

We found the factors 94,38,739 . The biggest common factor number is the GCF number.
So the greatest common factor 94,38,739 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 771/94, 676/38, 498/739

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 771/94, 676/38, 498/739?

Answer: LCM of Numerators as per given numbers 771/94, 676/38, 498/739 is

LCM of Numerators i.e. for 771,676,498 is 43259268

GCF of denominators i.e. for 94,38,739 is 1.

Thus, LCM of Fractions is 43259268.Finally, LCM of Fractions for 771/94, 676/38, 498/739 is 43259268.