Least Common Multiple of 57/134, 24/868, 810/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/134, 24/868, 810/638 quickly i.e. 30780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/134, 24/868, 810/638 is 30780.

LCM(57/134, 24/868, 810/638) = 30780

LCM of 57/134, 24/868, 810/638

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 57/134,24/868,810/638

Given numbers are 57/134,24/868,810/638

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 57,24,810

Least Common Multiple of Numerators i.e. LCM of 57,24,810 is 61560.

GCF of Denominators means GCF of 134,868,638 as per the given fractions.

GCF of 134,868,638 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,24,810

LCM of Fractions 57/134,24/868,810/638 is 30780

2 57, 24, 810
3 57, 12, 405
19, 4, 135

∴ So the LCM of the given numbers is 2 x 3 x 19 x 4 x 135 = 61560

Least Common Multiple of 57,24,810 with GCF Formula

Least Common Multiple of 57,24,810 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 57,24,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,24,810) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(57,24,810) x common factors =3 x 6 = 18

LCM(57,24,810) = ( 57 × 24 × 810 ) / 18

LCM(57,24,810) = 1108080 / 18

LCM(57,24,810) = 61560


Lets's calculate GCF of 134,868,638

2 134, 868, 638
67, 434, 319

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61560/2

Therefore the LCM of Fractions 57/134,24/868,810/638 is 30780

Greatest Common Factor of 134,868,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 134,868,638 By Matching Biggest Common Factor Method

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 134,868,638 . The biggest common factor number is the GCF number.
So the greatest common factor 134,868,638 is 2.


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 57/134, 24/868, 810/638

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 57/134, 24/868, 810/638?

Answer: LCM of Numerators as per given numbers 57/134, 24/868, 810/638 is

LCM of Numerators i.e. for 57,24,810 is 61560

GCF of denominators i.e. for 134,868,638 is 2.

Thus, LCM of Fractions is 30780.Finally, LCM of Fractions for 57/134, 24/868, 810/638 is 30780.