Least Common Multiple of 96/56, 96/33, 81/77, 18/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/56, 96/33, 81/77, 18/630 quickly i.e. 2592 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, 96/33, 81/77, 18/630 is 2592.

LCM(96/56, 96/33, 81/77, 18/630) = 2592

LCM of 96/56, 96/33, 81/77, 18/630

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 96/56,96/33,81/77,18/630

Given numbers are 96/56,96/33,81/77,18/630

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 96,96,81,18

Least Common Multiple of Numerators i.e. LCM of 96,96,81,18 is 2592.

GCF of Denominators means GCF of 56,33,77,630 as per the given fractions.

GCF of 56,33,77,630 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,96,81,18

LCM of Fractions 96/56,96/33,81/77,18/630 is 2592

2 96, 96, 81, 18
2 48, 48, 81, 9
2 24, 24, 81, 9
2 12, 12, 81, 9
2 6, 6, 81, 9
3 3, 3, 81, 9
3 1, 1, 27, 3
1, 1, 9, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 1 x 1 x 9 x 1 = 2592

Least Common Multiple of 96,96,81,18 with GCF Formula

Least Common Multiple of 96,96,81,18 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 96,96,81,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,96,81,18) = 3

common factors(in case of two or more numbers have common factors) = 1728

GCF(96,96,81,18) x common factors =3 x 1728 = 5184

LCM(96,96,81,18) = ( 96 × 96 × 81 × 18 ) / 5184

LCM(96,96,81,18) = 13436928 / 5184

LCM(96,96,81,18) = 2592


Lets's calculate GCF of 56,33,77,630

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2592/1

Therefore the LCM of Fractions 96/56,96/33,81/77,18/630 is 2592

Greatest Common Factor of 56,33,77,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,33,77,630 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 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 56,33,77,630 . The biggest common factor number is the GCF number.
So the greatest common factor 56,33,77,630 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, 96/33, 81/77, 18/630

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, 96/33, 81/77, 18/630?

Answer: LCM of Numerators as per given numbers 96/56, 96/33, 81/77, 18/630 is

LCM of Numerators i.e. for 96,96,81,18 is 2592

GCF of denominators i.e. for 56,33,77,630 is 1.

Thus, LCM of Fractions is 2592.Finally, LCM of Fractions for 96/56, 96/33, 81/77, 18/630 is 2592.