Least Common Multiple of 96/56, 81/46, 36/19, 60/654

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/56, 81/46, 36/19, 60/654 quickly i.e. 12960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/56, 81/46, 36/19, 60/654 is 12960.

LCM(96/56, 81/46, 36/19, 60/654) = 12960

LCM of 96/56, 81/46, 36/19, 60/654

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 96/56,81/46,36/19,60/654

Given numbers are 96/56,81/46,36/19,60/654

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 96,81,36,60

Least Common Multiple of Numerators i.e. LCM of 96,81,36,60 is 12960.

GCF of Denominators means GCF of 56,46,19,654 as per the given fractions.

GCF of 56,46,19,654 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,81,36,60

LCM of Fractions 96/56,81/46,36/19,60/654 is 12960

2 96, 81, 36, 60
2 48, 81, 18, 30
3 24, 81, 9, 15
3 8, 27, 3, 5
8, 9, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 8 x 9 x 1 x 5 = 12960

Least Common Multiple of 96,81,36,60 with GCF Formula

Least Common Multiple of 96,81,36,60 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 96,81,36,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,81,36,60) = 3

common factors(in case of two or more numbers have common factors) = 432

GCF(96,81,36,60) x common factors =3 x 432 = 1296

LCM(96,81,36,60) = ( 96 × 81 × 36 × 60 ) / 1296

LCM(96,81,36,60) = 16796160 / 1296

LCM(96,81,36,60) = 12960


Lets's calculate GCF of 56,46,19,654

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12960/1

Therefore the LCM of Fractions 96/56,81/46,36/19,60/654 is 12960

Greatest Common Factor of 56,46,19,654 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,46,19,654 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Greatest Common Factor

We found the factors 56,46,19,654 . The biggest common factor number is the GCF number.
So the greatest common factor 56,46,19,654 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 96/56, 81/46, 36/19, 60/654

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 96/56, 81/46, 36/19, 60/654?

Answer: LCM of Numerators as per given numbers 96/56, 81/46, 36/19, 60/654 is

LCM of Numerators i.e. for 96,81,36,60 is 12960

GCF of denominators i.e. for 56,46,19,654 is 1.

Thus, LCM of Fractions is 12960.Finally, LCM of Fractions for 96/56, 81/46, 36/19, 60/654 is 12960.