Least Common Multiple of 18/585, 57/125, 948/924

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/585, 57/125, 948/924 quickly i.e. 54036 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/585, 57/125, 948/924 is 54036.

LCM(18/585, 57/125, 948/924) = 54036

LCM of 18/585, 57/125, 948/924

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 18/585,57/125,948/924

Given numbers are 18/585,57/125,948/924

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 18,57,948

Least Common Multiple of Numerators i.e. LCM of 18,57,948 is 54036.

GCF of Denominators means GCF of 585,125,924 as per the given fractions.

GCF of 585,125,924 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,57,948

LCM of Fractions 18/585,57/125,948/924 is 54036

2 18, 57, 948
3 9, 57, 474
3, 19, 158

∴ So the LCM of the given numbers is 2 x 3 x 3 x 19 x 158 = 54036

Least Common Multiple of 18,57,948 with GCF Formula

Least Common Multiple of 18,57,948 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 18,57,948 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,57,948) = 3

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

GCF(18,57,948) x common factors =3 x 6 = 18

LCM(18,57,948) = ( 18 × 57 × 948 ) / 18

LCM(18,57,948) = 972648 / 18

LCM(18,57,948) = 54036


Lets's calculate GCF of 585,125,924

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54036/1

Therefore the LCM of Fractions 18/585,57/125,948/924 is 54036

Greatest Common Factor of 585,125,924 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,125,924 By Matching Biggest Common Factor Method

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Factors of 924

List of positive integer factors of 924 that divides 924 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924

Greatest Common Factor

We found the factors 585,125,924 . The biggest common factor number is the GCF number.
So the greatest common factor 585,125,924 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 18/585, 57/125, 948/924

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 18/585, 57/125, 948/924?

Answer: LCM of Numerators as per given numbers 18/585, 57/125, 948/924 is

LCM of Numerators i.e. for 18,57,948 is 54036

GCF of denominators i.e. for 585,125,924 is 1.

Thus, LCM of Fractions is 54036.Finally, LCM of Fractions for 18/585, 57/125, 948/924 is 54036.