Least Common Multiple of 44/33, 72/37, 99/772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 44/33, 72/37, 99/772 quickly i.e. 792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/33, 72/37, 99/772 is 792.

LCM(44/33, 72/37, 99/772) = 792

LCM of 44/33, 72/37, 99/772

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 44/33,72/37,99/772

Given numbers are 44/33,72/37,99/772

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 44,72,99

Least Common Multiple of Numerators i.e. LCM of 44,72,99 is 792.

GCF of Denominators means GCF of 33,37,772 as per the given fractions.

GCF of 33,37,772 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,72,99

LCM of Fractions 44/33,72/37,99/772 is 792

2 44, 72, 99
2 22, 36, 99
3 11, 18, 99
3 11, 6, 33
11 11, 2, 11
1, 2, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 11 x 1 x 2 x 1 = 792

Least Common Multiple of 44,72,99 with GCF Formula

Least Common Multiple of 44,72,99 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 44,72,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,72,99) = 1

common factors(in case of two or more numbers have common factors) = 396

GCF(44,72,99) x common factors =1 x 396 = 396

LCM(44,72,99) = ( 44 × 72 × 99 ) / 396

LCM(44,72,99) = 313632 / 396

LCM(44,72,99) = 792


Lets's calculate GCF of 33,37,772

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 792/1

Therefore the LCM of Fractions 44/33,72/37,99/772 is 792

Greatest Common Factor of 33,37,772 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,37,772 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 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Greatest Common Factor

We found the factors 33,37,772 . The biggest common factor number is the GCF number.
So the greatest common factor 33,37,772 is 1.


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Frequently Asked Questions on Fractional LCM of 44/33, 72/37, 99/772

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 44/33, 72/37, 99/772?

Answer: LCM of Numerators as per given numbers 44/33, 72/37, 99/772 is

LCM of Numerators i.e. for 44,72,99 is 792

GCF of denominators i.e. for 33,37,772 is 1.

Thus, LCM of Fractions is 792.Finally, LCM of Fractions for 44/33, 72/37, 99/772 is 792.