Least Common Multiple of 48/81, 15/38, 869/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/81, 15/38, 869/972 quickly i.e. 208560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/81, 15/38, 869/972 is 208560.

LCM(48/81, 15/38, 869/972) = 208560

LCM of 48/81, 15/38, 869/972

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 48/81,15/38,869/972

Given numbers are 48/81,15/38,869/972

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 48,15,869

Least Common Multiple of Numerators i.e. LCM of 48,15,869 is 208560.

GCF of Denominators means GCF of 81,38,972 as per the given fractions.

GCF of 81,38,972 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,15,869

LCM of Fractions 48/81,15/38,869/972 is 208560

3 48, 15, 869
16, 5, 869

∴ So the LCM of the given numbers is 3 x 16 x 5 x 869 = 208560

Least Common Multiple of 48,15,869 with GCF Formula

Least Common Multiple of 48,15,869 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 48,15,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,15,869) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(48,15,869) x common factors =1 x 3 = 3

LCM(48,15,869) = ( 48 × 15 × 869 ) / 3

LCM(48,15,869) = 625680 / 3

LCM(48,15,869) = 208560


Lets's calculate GCF of 81,38,972

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 208560/1

Therefore the LCM of Fractions 48/81,15/38,869/972 is 208560

Greatest Common Factor of 81,38,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,38,972 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 81,38,972 . The biggest common factor number is the GCF number.
So the greatest common factor 81,38,972 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 48/81, 15/38, 869/972

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 48/81, 15/38, 869/972?

Answer: LCM of Numerators as per given numbers 48/81, 15/38, 869/972 is

LCM of Numerators i.e. for 48,15,869 is 208560

GCF of denominators i.e. for 81,38,972 is 1.

Thus, LCM of Fractions is 208560.Finally, LCM of Fractions for 48/81, 15/38, 869/972 is 208560.