Least Common Multiple of 95/10, 81/12, 96/87, 72/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/10, 81/12, 96/87, 72/648 quickly i.e. 246240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/10, 81/12, 96/87, 72/648 is 246240.

LCM(95/10, 81/12, 96/87, 72/648) = 246240

LCM of 95/10, 81/12, 96/87, 72/648

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 95/10,81/12,96/87,72/648

Given numbers are 95/10,81/12,96/87,72/648

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 95,81,96,72

Least Common Multiple of Numerators i.e. LCM of 95,81,96,72 is 246240.

GCF of Denominators means GCF of 10,12,87,648 as per the given fractions.

GCF of 10,12,87,648 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,81,96,72

LCM of Fractions 95/10,81/12,96/87,72/648 is 246240

2 95, 81, 96, 72
2 95, 81, 48, 36
2 95, 81, 24, 18
3 95, 81, 12, 9
3 95, 27, 4, 3
95, 9, 4, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 95 x 9 x 4 x 1 = 246240

Least Common Multiple of 95,81,96,72 with GCF Formula

Least Common Multiple of 95,81,96,72 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 95,81,96,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,81,96,72) = 1

common factors(in case of two or more numbers have common factors) = 216

GCF(95,81,96,72) x common factors =1 x 216 = 216

LCM(95,81,96,72) = ( 95 × 81 × 96 × 72 ) / 216

LCM(95,81,96,72) = 53187840 / 216

LCM(95,81,96,72) = 246240


Lets's calculate GCF of 10,12,87,648

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 246240/1

Therefore the LCM of Fractions 95/10,81/12,96/87,72/648 is 246240

Greatest Common Factor of 10,12,87,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,12,87,648 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 10,12,87,648 . The biggest common factor number is the GCF number.
So the greatest common factor 10,12,87,648 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 95/10, 81/12, 96/87, 72/648

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 95/10, 81/12, 96/87, 72/648?

Answer: LCM of Numerators as per given numbers 95/10, 81/12, 96/87, 72/648 is

LCM of Numerators i.e. for 95,81,96,72 is 246240

GCF of denominators i.e. for 10,12,87,648 is 1.

Thus, LCM of Fractions is 246240.Finally, LCM of Fractions for 95/10, 81/12, 96/87, 72/648 is 246240.