Least Common Multiple of 80/378, 97/762, 472/137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 80/378, 97/762, 472/137 quickly i.e. 457840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 80/378, 97/762, 472/137 is 457840.

LCM(80/378, 97/762, 472/137) = 457840

LCM of 80/378, 97/762, 472/137

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 80/378,97/762,472/137

Given numbers are 80/378,97/762,472/137

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 80,97,472

Least Common Multiple of Numerators i.e. LCM of 80,97,472 is 457840.

GCF of Denominators means GCF of 378,762,137 as per the given fractions.

GCF of 378,762,137 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 80,97,472

LCM of Fractions 80/378,97/762,472/137 is 457840

2 80, 97, 472
2 40, 97, 236
2 20, 97, 118
10, 97, 59

∴ So the LCM of the given numbers is 2 x 2 x 2 x 10 x 97 x 59 = 457840

Least Common Multiple of 80,97,472 with GCF Formula

Least Common Multiple of 80,97,472 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 80,97,472 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,97,472) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(80,97,472) x common factors =1 x 8 = 8

LCM(80,97,472) = ( 80 × 97 × 472 ) / 8

LCM(80,97,472) = 3662720 / 8

LCM(80,97,472) = 457840


Lets's calculate GCF of 378,762,137

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 457840/1

Therefore the LCM of Fractions 80/378,97/762,472/137 is 457840

Greatest Common Factor of 378,762,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,762,137 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 378,762,137 . The biggest common factor number is the GCF number.
So the greatest common factor 378,762,137 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 80/378, 97/762, 472/137

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 80/378, 97/762, 472/137?

Answer: LCM of Numerators as per given numbers 80/378, 97/762, 472/137 is

LCM of Numerators i.e. for 80,97,472 is 457840

GCF of denominators i.e. for 378,762,137 is 1.

Thus, LCM of Fractions is 457840.Finally, LCM of Fractions for 80/378, 97/762, 472/137 is 457840.