Least Common Multiple of 44/99, 78/33, 747/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/99, 78/33, 747/357 quickly i.e. 142428 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/99, 78/33, 747/357 is 142428.

LCM(44/99, 78/33, 747/357) = 142428

LCM of 44/99, 78/33, 747/357

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 44/99,78/33,747/357

Given numbers are 44/99,78/33,747/357

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 44,78,747

Least Common Multiple of Numerators i.e. LCM of 44,78,747 is 427284.

GCF of Denominators means GCF of 99,33,357 as per the given fractions.

GCF of 99,33,357 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,78,747

LCM of Fractions 44/99,78/33,747/357 is 142428

2 44, 78, 747
3 22, 39, 747
22, 13, 249

∴ So the LCM of the given numbers is 2 x 3 x 22 x 13 x 249 = 427284

Least Common Multiple of 44,78,747 with GCF Formula

Least Common Multiple of 44,78,747 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 44,78,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,78,747) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(44,78,747) x common factors =1 x 6 = 6

LCM(44,78,747) = ( 44 × 78 × 747 ) / 6

LCM(44,78,747) = 2563704 / 6

LCM(44,78,747) = 427284


Lets's calculate GCF of 99,33,357

3 99, 33, 357
33, 11, 119

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 427284/3

Therefore the LCM of Fractions 44/99,78/33,747/357 is 142428

Greatest Common Factor of 99,33,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,33,357 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 33

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

1,3,11,33

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 99,33,357 . The biggest common factor number is the GCF number.
So the greatest common factor 99,33,357 is 3.


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 44/99, 78/33, 747/357

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 44/99, 78/33, 747/357?

Answer: LCM of Numerators as per given numbers 44/99, 78/33, 747/357 is

LCM of Numerators i.e. for 44,78,747 is 427284

GCF of denominators i.e. for 99,33,357 is 3.

Thus, LCM of Fractions is 142428.Finally, LCM of Fractions for 44/99, 78/33, 747/357 is 142428.