Least Common Multiple of 460/59, 976/99, 638/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 460/59, 976/99, 638/270 quickly i.e. 35804560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 460/59, 976/99, 638/270 is 35804560.

LCM(460/59, 976/99, 638/270) = 35804560

LCM of 460/59, 976/99, 638/270

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 460/59,976/99,638/270

Given numbers are 460/59,976/99,638/270

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 460,976,638

Least Common Multiple of Numerators i.e. LCM of 460,976,638 is 35804560.

GCF of Denominators means GCF of 59,99,270 as per the given fractions.

GCF of 59,99,270 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 460,976,638

LCM of Fractions 460/59,976/99,638/270 is 35804560

2 460, 976, 638
2 230, 488, 319
115, 244, 319

∴ So the LCM of the given numbers is 2 x 2 x 115 x 244 x 319 = 35804560

Least Common Multiple of 460,976,638 with GCF Formula

Least Common Multiple of 460,976,638 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 460,976,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(460,976,638) = 2

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

GCF(460,976,638) x common factors =2 x 4 = 8

LCM(460,976,638) = ( 460 × 976 × 638 ) / 8

LCM(460,976,638) = 286436480 / 8

LCM(460,976,638) = 35804560


Lets's calculate GCF of 59,99,270

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35804560/1

Therefore the LCM of Fractions 460/59,976/99,638/270 is 35804560

Greatest Common Factor of 59,99,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,99,270 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 59,99,270 . The biggest common factor number is the GCF number.
So the greatest common factor 59,99,270 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 460/59, 976/99, 638/270

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 460/59, 976/99, 638/270?

Answer: LCM of Numerators as per given numbers 460/59, 976/99, 638/270 is

LCM of Numerators i.e. for 460,976,638 is 35804560

GCF of denominators i.e. for 59,99,270 is 1.

Thus, LCM of Fractions is 35804560.Finally, LCM of Fractions for 460/59, 976/99, 638/270 is 35804560.