Least Common Multiple of 476/41, 761/46, 391/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 476/41, 761/46, 391/752 quickly i.e. 8331428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 476/41, 761/46, 391/752 is 8331428.

LCM(476/41, 761/46, 391/752) = 8331428

LCM of 476/41, 761/46, 391/752

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 476/41,761/46,391/752

Given numbers are 476/41,761/46,391/752

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 476,761,391

Least Common Multiple of Numerators i.e. LCM of 476,761,391 is 8331428.

GCF of Denominators means GCF of 41,46,752 as per the given fractions.

GCF of 41,46,752 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 476,761,391

LCM of Fractions 476/41,761/46,391/752 is 8331428

17 476, 761, 391
28, 761, 23

∴ So the LCM of the given numbers is 17 x 28 x 761 x 23 = 8331428

Least Common Multiple of 476,761,391 with GCF Formula

Least Common Multiple of 476,761,391 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 476,761,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(476,761,391) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(476,761,391) x common factors =1 x 17 = 17

LCM(476,761,391) = ( 476 × 761 × 391 ) / 17

LCM(476,761,391) = 141634276 / 17

LCM(476,761,391) = 8331428


Lets's calculate GCF of 41,46,752

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8331428/1

Therefore the LCM of Fractions 476/41,761/46,391/752 is 8331428

Greatest Common Factor of 41,46,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 41,46,752 By Matching Biggest Common Factor Method

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 41,46,752 . The biggest common factor number is the GCF number.
So the greatest common factor 41,46,752 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 476/41, 761/46, 391/752

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 476/41, 761/46, 391/752?

Answer: LCM of Numerators as per given numbers 476/41, 761/46, 391/752 is

LCM of Numerators i.e. for 476,761,391 is 8331428

GCF of denominators i.e. for 41,46,752 is 1.

Thus, LCM of Fractions is 8331428.Finally, LCM of Fractions for 476/41, 761/46, 391/752 is 8331428.