Least Common Multiple of 622/99, 464/51, 777/243

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 622/99, 464/51, 777/243 quickly i.e. 37374736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 622/99, 464/51, 777/243 is 37374736.

LCM(622/99, 464/51, 777/243) = 37374736

LCM of 622/99, 464/51, 777/243

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 622/99,464/51,777/243

Given numbers are 622/99,464/51,777/243

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 622,464,777

Least Common Multiple of Numerators i.e. LCM of 622,464,777 is 112124208.

GCF of Denominators means GCF of 99,51,243 as per the given fractions.

GCF of 99,51,243 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 622,464,777

LCM of Fractions 622/99,464/51,777/243 is 37374736

2 622, 464, 777
311, 232, 777

∴ So the LCM of the given numbers is 2 x 311 x 232 x 777 = 112124208

Least Common Multiple of 622,464,777 with GCF Formula

Least Common Multiple of 622,464,777 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 622,464,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,464,777) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(622,464,777) x common factors =1 x 2 = 2

LCM(622,464,777) = ( 622 × 464 × 777 ) / 2

LCM(622,464,777) = 224248416 / 2

LCM(622,464,777) = 112124208


Lets's calculate GCF of 99,51,243

3 99, 51, 243
33, 17, 81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112124208/3

Therefore the LCM of Fractions 622/99,464/51,777/243 is 37374736

Greatest Common Factor of 99,51,243 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,51,243 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 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Greatest Common Factor

We found the factors 99,51,243 . The biggest common factor number is the GCF number.
So the greatest common factor 99,51,243 is 3.


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Frequently Asked Questions on Fractional LCM of 622/99, 464/51, 777/243

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 622/99, 464/51, 777/243?

Answer: LCM of Numerators as per given numbers 622/99, 464/51, 777/243 is

LCM of Numerators i.e. for 622,464,777 is 112124208

GCF of denominators i.e. for 99,51,243 is 3.

Thus, LCM of Fractions is 37374736.Finally, LCM of Fractions for 622/99, 464/51, 777/243 is 37374736.