Least Common Multiple of 76/38, 32/655, 471/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/38, 32/655, 471/658 quickly i.e. 286368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/38, 32/655, 471/658 is 286368.

LCM(76/38, 32/655, 471/658) = 286368

LCM of 76/38, 32/655, 471/658

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 76/38,32/655,471/658

Given numbers are 76/38,32/655,471/658

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 76,32,471

Least Common Multiple of Numerators i.e. LCM of 76,32,471 is 286368.

GCF of Denominators means GCF of 38,655,658 as per the given fractions.

GCF of 38,655,658 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,32,471

LCM of Fractions 76/38,32/655,471/658 is 286368

2 76, 32, 471
2 38, 16, 471
19, 8, 471

∴ So the LCM of the given numbers is 2 x 2 x 19 x 8 x 471 = 286368

Least Common Multiple of 76,32,471 with GCF Formula

Least Common Multiple of 76,32,471 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 76,32,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,32,471) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(76,32,471) x common factors =1 x 4 = 4

LCM(76,32,471) = ( 76 × 32 × 471 ) / 4

LCM(76,32,471) = 1145472 / 4

LCM(76,32,471) = 286368


Lets's calculate GCF of 38,655,658

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 286368/1

Therefore the LCM of Fractions 76/38,32/655,471/658 is 286368

Greatest Common Factor of 38,655,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,655,658 By Matching Biggest Common Factor Method

Factors of 38

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

1,2,19,38

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 38,655,658 . The biggest common factor number is the GCF number.
So the greatest common factor 38,655,658 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 76/38, 32/655, 471/658

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 76/38, 32/655, 471/658?

Answer: LCM of Numerators as per given numbers 76/38, 32/655, 471/658 is

LCM of Numerators i.e. for 76,32,471 is 286368

GCF of denominators i.e. for 38,655,658 is 1.

Thus, LCM of Fractions is 286368.Finally, LCM of Fractions for 76/38, 32/655, 471/658 is 286368.