Least Common Multiple of 773/99, 178/12, 822/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 773/99, 178/12, 822/369 quickly i.e. 18850378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 773/99, 178/12, 822/369 is 18850378.

LCM(773/99, 178/12, 822/369) = 18850378

LCM of 773/99, 178/12, 822/369

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 773/99,178/12,822/369

Given numbers are 773/99,178/12,822/369

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 773,178,822

Least Common Multiple of Numerators i.e. LCM of 773,178,822 is 56551134.

GCF of Denominators means GCF of 99,12,369 as per the given fractions.

GCF of 99,12,369 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 773,178,822

LCM of Fractions 773/99,178/12,822/369 is 18850378

2 773, 178, 822
773, 89, 411

∴ So the LCM of the given numbers is 2 x 773 x 89 x 411 = 56551134

Least Common Multiple of 773,178,822 with GCF Formula

Least Common Multiple of 773,178,822 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 773,178,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(773,178,822) = 1

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

GCF(773,178,822) x common factors =1 x 2 = 2

LCM(773,178,822) = ( 773 × 178 × 822 ) / 2

LCM(773,178,822) = 113102268 / 2

LCM(773,178,822) = 56551134


Lets's calculate GCF of 99,12,369

3 99, 12, 369
33, 4, 123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56551134/3

Therefore the LCM of Fractions 773/99,178/12,822/369 is 18850378

Greatest Common Factor of 99,12,369 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,12,369 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 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Greatest Common Factor

We found the factors 99,12,369 . The biggest common factor number is the GCF number.
So the greatest common factor 99,12,369 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 773/99, 178/12, 822/369

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 773/99, 178/12, 822/369?

Answer: LCM of Numerators as per given numbers 773/99, 178/12, 822/369 is

LCM of Numerators i.e. for 773,178,822 is 56551134

GCF of denominators i.e. for 99,12,369 is 3.

Thus, LCM of Fractions is 18850378.Finally, LCM of Fractions for 773/99, 178/12, 822/369 is 18850378.