Least Common Multiple of 72/64, 33/42, 22/90, 83/672

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/64, 33/42, 22/90, 83/672 quickly i.e. 32868 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/64, 33/42, 22/90, 83/672 is 32868.

LCM(72/64, 33/42, 22/90, 83/672) = 32868

LCM of 72/64, 33/42, 22/90, 83/672

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 72/64,33/42,22/90,83/672

Given numbers are 72/64,33/42,22/90,83/672

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 72,33,22,83

Least Common Multiple of Numerators i.e. LCM of 72,33,22,83 is 65736.

GCF of Denominators means GCF of 64,42,90,672 as per the given fractions.

GCF of 64,42,90,672 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,33,22,83

LCM of Fractions 72/64,33/42,22/90,83/672 is 32868

2 72, 33, 22, 83
3 36, 33, 11, 83
11 12, 11, 11, 83
12, 1, 1, 83

∴ So the LCM of the given numbers is 2 x 3 x 11 x 12 x 1 x 1 x 83 = 65736

Least Common Multiple of 72,33,22,83 with GCF Formula

Least Common Multiple of 72,33,22,83 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 72,33,22,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,33,22,83) = 1

common factors(in case of two or more numbers have common factors) = 66

GCF(72,33,22,83) x common factors =1 x 66 = 66

LCM(72,33,22,83) = ( 72 × 33 × 22 × 83 ) / 66

LCM(72,33,22,83) = 4338576 / 66

LCM(72,33,22,83) = 65736


Lets's calculate GCF of 64,42,90,672

2 64, 42, 90, 672
32, 21, 45, 336

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65736/2

Therefore the LCM of Fractions 72/64,33/42,22/90,83/672 is 32868

Greatest Common Factor of 64,42,90,672 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,42,90,672 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Greatest Common Factor

We found the factors 64,42,90,672 . The biggest common factor number is the GCF number.
So the greatest common factor 64,42,90,672 is 2.


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 72/64, 33/42, 22/90, 83/672

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 72/64, 33/42, 22/90, 83/672?

Answer: LCM of Numerators as per given numbers 72/64, 33/42, 22/90, 83/672 is

LCM of Numerators i.e. for 72,33,22,83 is 65736

GCF of denominators i.e. for 64,42,90,672 is 2.

Thus, LCM of Fractions is 32868.Finally, LCM of Fractions for 72/64, 33/42, 22/90, 83/672 is 32868.