Least Common Multiple of 767/29, 491/3892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 767/29, 491/3892 quickly i.e. 376597 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 767/29, 491/3892 is 376597.

LCM(767/29, 491/3892) = 376597

LCM of 767/29, 491/3892

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 767/29,491/3892

Given numbers are 767/29,491/3892

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 767,491

Least Common Multiple of Numerators i.e. LCM of 767,491 is 376597.

GCF of Denominators means GCF of 29,3892 as per the given fractions.

GCF of 29,3892 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 767,491

LCM of Fractions 767/29,491/3892 is 376597

Given numbers has no common factors except 1. So, there LCM is their product i.e 376597

Least Common Multiple of 767,491 with GCF Formula

Least Common Multiple of 767,491 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 767,491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(767,491) = 1

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

GCF(767,491) x common factors =1 x 1 = 1

LCM(767,491) = ( 767 × 491 ) / 1

LCM(767,491) = 376597 / 1

LCM(767,491) = 376597


Lets's calculate GCF of 29,3892

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 376597/1

Therefore the LCM of Fractions 767/29,491/3892 is 376597

Greatest Common Factor of 29,3892 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,3892 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 3892

List of positive integer factors of 3892 that divides 3892 without a remainder.

1,2,4,7,14,28,139,278,556,973,1946,3892

Greatest Common Factor

We found the factors 29,3892 . The biggest common factor number is the GCF number.
So the greatest common factor 29,3892 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 767/29, 491/3892

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 767/29, 491/3892?

Answer: LCM of Numerators as per given numbers 767/29, 491/3892 is

LCM of Numerators i.e. for 767,491 is 376597

GCF of denominators i.e. for 29,3892 is 1.

Thus, LCM of Fractions is 376597.Finally, LCM of Fractions for 767/29, 491/3892 is 376597.