Least Common Multiple of 96/33, 72/33, 78/22, 70/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/33, 72/33, 78/22, 70/16 quickly i.e. 131040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/33, 72/33, 78/22, 70/16 is 131040.

LCM(96/33, 72/33, 78/22, 70/16) = 131040

LCM of 96/33, 72/33, 78/22, 70/16

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 96/33,72/33,78/22,70/16

Given numbers are 96/33,72/33,78/22,70/16

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 96,72,78,70

Least Common Multiple of Numerators i.e. LCM of 96,72,78,70 is 131040.

GCF of Denominators means GCF of 33,33,22,16 as per the given fractions.

GCF of 33,33,22,16 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,72,78,70

LCM of Fractions 96/33,72/33,78/22,70/16 is 131040

2 96, 72, 78, 70
2 48, 36, 39, 35
2 24, 18, 39, 35
3 12, 9, 39, 35
4, 3, 13, 35

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 4 x 3 x 13 x 35 = 131040

Least Common Multiple of 96,72,78,70 with GCF Formula

Least Common Multiple of 96,72,78,70 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 96,72,78,70 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,72,78,70) = 2

common factors(in case of two or more numbers have common factors) = 144

GCF(96,72,78,70) x common factors =2 x 144 = 288

LCM(96,72,78,70) = ( 96 × 72 × 78 × 70 ) / 288

LCM(96,72,78,70) = 37739520 / 288

LCM(96,72,78,70) = 131040


Lets's calculate GCF of 33,33,22,16

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131040/1

Therefore the LCM of Fractions 96/33,72/33,78/22,70/16 is 131040

Greatest Common Factor of 33,33,22,16 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,33,22,16 By Matching Biggest Common Factor Method

Factors of 33

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

1,3,11,33

Factors of 33

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

1,3,11,33

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Greatest Common Factor

We found the factors 33,33,22,16 . The biggest common factor number is the GCF number.
So the greatest common factor 33,33,22,16 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 96/33, 72/33, 78/22, 70/16

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 96/33, 72/33, 78/22, 70/16?

Answer: LCM of Numerators as per given numbers 96/33, 72/33, 78/22, 70/16 is

LCM of Numerators i.e. for 96,72,78,70 is 131040

GCF of denominators i.e. for 33,33,22,16 is 1.

Thus, LCM of Fractions is 131040.Finally, LCM of Fractions for 96/33, 72/33, 78/22, 70/16 is 131040.