Least Common Multiple of 36/304, 107/422, 909/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/304, 107/422, 909/923 quickly i.e. 389052 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/304, 107/422, 909/923 is 389052.

LCM(36/304, 107/422, 909/923) = 389052

LCM of 36/304, 107/422, 909/923

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 36/304,107/422,909/923

Given numbers are 36/304,107/422,909/923

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 36,107,909

Least Common Multiple of Numerators i.e. LCM of 36,107,909 is 389052.

GCF of Denominators means GCF of 304,422,923 as per the given fractions.

GCF of 304,422,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,107,909

LCM of Fractions 36/304,107/422,909/923 is 389052

3 36, 107, 909
3 12, 107, 303
4, 107, 101

∴ So the LCM of the given numbers is 3 x 3 x 4 x 107 x 101 = 389052

Least Common Multiple of 36,107,909 with GCF Formula

Least Common Multiple of 36,107,909 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 36,107,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,107,909) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(36,107,909) x common factors =1 x 9 = 9

LCM(36,107,909) = ( 36 × 107 × 909 ) / 9

LCM(36,107,909) = 3501468 / 9

LCM(36,107,909) = 389052


Lets's calculate GCF of 304,422,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 389052/1

Therefore the LCM of Fractions 36/304,107/422,909/923 is 389052

Greatest Common Factor of 304,422,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,422,923 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 304,422,923 . The biggest common factor number is the GCF number.
So the greatest common factor 304,422,923 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 36/304, 107/422, 909/923

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 36/304, 107/422, 909/923?

Answer: LCM of Numerators as per given numbers 36/304, 107/422, 909/923 is

LCM of Numerators i.e. for 36,107,909 is 389052

GCF of denominators i.e. for 304,422,923 is 1.

Thus, LCM of Fractions is 389052.Finally, LCM of Fractions for 36/304, 107/422, 909/923 is 389052.