Least Common Multiple of 460/137, 572/772, 386/905

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 460/137, 572/772, 386/905 quickly i.e. 12695540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 460/137, 572/772, 386/905 is 12695540.

LCM(460/137, 572/772, 386/905) = 12695540

LCM of 460/137, 572/772, 386/905

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 460/137,572/772,386/905

Given numbers are 460/137,572/772,386/905

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 460,572,386

Least Common Multiple of Numerators i.e. LCM of 460,572,386 is 12695540.

GCF of Denominators means GCF of 137,772,905 as per the given fractions.

GCF of 137,772,905 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 460,572,386

LCM of Fractions 460/137,572/772,386/905 is 12695540

2 460, 572, 386
2 230, 286, 193
115, 143, 193

∴ So the LCM of the given numbers is 2 x 2 x 115 x 143 x 193 = 12695540

Least Common Multiple of 460,572,386 with GCF Formula

Least Common Multiple of 460,572,386 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 460,572,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,572,386) = 2

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

GCF(460,572,386) x common factors =2 x 4 = 8

LCM(460,572,386) = ( 460 × 572 × 386 ) / 8

LCM(460,572,386) = 101564320 / 8

LCM(460,572,386) = 12695540


Lets's calculate GCF of 137,772,905

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12695540/1

Therefore the LCM of Fractions 460/137,572/772,386/905 is 12695540

Greatest Common Factor of 137,772,905 By Matching Biggest Common Factor Method

Greatest Common Factor of 137,772,905 By Matching Biggest Common Factor Method

Factors of 137

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

1,137

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 905

List of positive integer factors of 905 that divides 905 without a remainder.

1,5,181,905

Greatest Common Factor

We found the factors 137,772,905 . The biggest common factor number is the GCF number.
So the greatest common factor 137,772,905 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 460/137, 572/772, 386/905

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 460/137, 572/772, 386/905?

Answer: LCM of Numerators as per given numbers 460/137, 572/772, 386/905 is

LCM of Numerators i.e. for 460,572,386 is 12695540

GCF of denominators i.e. for 137,772,905 is 1.

Thus, LCM of Fractions is 12695540.Finally, LCM of Fractions for 460/137, 572/772, 386/905 is 12695540.