Least Common Multiple of 99/69, 99/73, 51/10, 27/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/69, 99/73, 51/10, 27/944 quickly i.e. 5049 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/69, 99/73, 51/10, 27/944 is 5049.

LCM(99/69, 99/73, 51/10, 27/944) = 5049

LCM of 99/69, 99/73, 51/10, 27/944

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 99/69,99/73,51/10,27/944

Given numbers are 99/69,99/73,51/10,27/944

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 99,99,51,27

Least Common Multiple of Numerators i.e. LCM of 99,99,51,27 is 5049.

GCF of Denominators means GCF of 69,73,10,944 as per the given fractions.

GCF of 69,73,10,944 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,99,51,27

LCM of Fractions 99/69,99/73,51/10,27/944 is 5049

3 99, 99, 51, 27
3 33, 33, 17, 9
11 11, 11, 17, 3
1, 1, 17, 3

∴ So the LCM of the given numbers is 3 x 3 x 11 x 1 x 1 x 17 x 3 = 5049

Least Common Multiple of 99,99,51,27 with GCF Formula

Least Common Multiple of 99,99,51,27 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 99,99,51,27 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,99,51,27) = 3

common factors(in case of two or more numbers have common factors) = 891

GCF(99,99,51,27) x common factors =3 x 891 = 2673

LCM(99,99,51,27) = ( 99 × 99 × 51 × 27 ) / 2673

LCM(99,99,51,27) = 13495977 / 2673

LCM(99,99,51,27) = 5049


Lets's calculate GCF of 69,73,10,944

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5049/1

Therefore the LCM of Fractions 99/69,99/73,51/10,27/944 is 5049

Greatest Common Factor of 69,73,10,944 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,73,10,944 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Greatest Common Factor

We found the factors 69,73,10,944 . The biggest common factor number is the GCF number.
So the greatest common factor 69,73,10,944 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 99/69, 99/73, 51/10, 27/944

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 99/69, 99/73, 51/10, 27/944?

Answer: LCM of Numerators as per given numbers 99/69, 99/73, 51/10, 27/944 is

LCM of Numerators i.e. for 99,99,51,27 is 5049

GCF of denominators i.e. for 69,73,10,944 is 1.

Thus, LCM of Fractions is 5049.Finally, LCM of Fractions for 99/69, 99/73, 51/10, 27/944 is 5049.