Least Common Multiple of 76/391, 475/561, 284/452

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/391, 475/561, 284/452 quickly i.e. 134900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/391, 475/561, 284/452 is 134900.

LCM(76/391, 475/561, 284/452) = 134900

LCM of 76/391, 475/561, 284/452

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 76/391,475/561,284/452

Given numbers are 76/391,475/561,284/452

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 76,475,284

Least Common Multiple of Numerators i.e. LCM of 76,475,284 is 134900.

GCF of Denominators means GCF of 391,561,452 as per the given fractions.

GCF of 391,561,452 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,475,284

LCM of Fractions 76/391,475/561,284/452 is 134900

2 76, 475, 284
2 38, 475, 142
19 19, 475, 71
1, 25, 71

∴ So the LCM of the given numbers is 2 x 2 x 19 x 1 x 25 x 71 = 134900

Least Common Multiple of 76,475,284 with GCF Formula

Least Common Multiple of 76,475,284 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 76,475,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,475,284) = 1

common factors(in case of two or more numbers have common factors) = 76

GCF(76,475,284) x common factors =1 x 76 = 76

LCM(76,475,284) = ( 76 × 475 × 284 ) / 76

LCM(76,475,284) = 10252400 / 76

LCM(76,475,284) = 134900


Lets's calculate GCF of 391,561,452

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134900/1

Therefore the LCM of Fractions 76/391,475/561,284/452 is 134900

Greatest Common Factor of 391,561,452 By Matching Biggest Common Factor Method

Greatest Common Factor of 391,561,452 By Matching Biggest Common Factor Method

Factors of 391

List of positive integer factors of 391 that divides 391 without a remainder.

1,17,23,391

Factors of 561

List of positive integer factors of 561 that divides 561 without a remainder.

1,3,11,17,33,51,187,561

Factors of 452

List of positive integer factors of 452 that divides 452 without a remainder.

1,2,4,113,226,452

Greatest Common Factor

We found the factors 391,561,452 . The biggest common factor number is the GCF number.
So the greatest common factor 391,561,452 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 76/391, 475/561, 284/452

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 76/391, 475/561, 284/452?

Answer: LCM of Numerators as per given numbers 76/391, 475/561, 284/452 is

LCM of Numerators i.e. for 76,475,284 is 134900

GCF of denominators i.e. for 391,561,452 is 1.

Thus, LCM of Fractions is 134900.Finally, LCM of Fractions for 76/391, 475/561, 284/452 is 134900.