Least Common Multiple of 873/304, 978/631, 135/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 873/304, 978/631, 135/367 quickly i.e. 4268970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 873/304, 978/631, 135/367 is 4268970.

LCM(873/304, 978/631, 135/367) = 4268970

LCM of 873/304, 978/631, 135/367

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 873/304,978/631,135/367

Given numbers are 873/304,978/631,135/367

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 873,978,135

Least Common Multiple of Numerators i.e. LCM of 873,978,135 is 4268970.

GCF of Denominators means GCF of 304,631,367 as per the given fractions.

GCF of 304,631,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 873,978,135

LCM of Fractions 873/304,978/631,135/367 is 4268970

3 873, 978, 135
3 291, 326, 45
97, 326, 15

∴ So the LCM of the given numbers is 3 x 3 x 97 x 326 x 15 = 4268970

Least Common Multiple of 873,978,135 with GCF Formula

Least Common Multiple of 873,978,135 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 873,978,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,978,135) = 3

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

GCF(873,978,135) x common factors =3 x 9 = 27

LCM(873,978,135) = ( 873 × 978 × 135 ) / 27

LCM(873,978,135) = 115262190 / 27

LCM(873,978,135) = 4268970


Lets's calculate GCF of 304,631,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4268970/1

Therefore the LCM of Fractions 873/304,978/631,135/367 is 4268970

Greatest Common Factor of 304,631,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,631,367 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 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 304,631,367 . The biggest common factor number is the GCF number.
So the greatest common factor 304,631,367 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 873/304, 978/631, 135/367

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 873/304, 978/631, 135/367?

Answer: LCM of Numerators as per given numbers 873/304, 978/631, 135/367 is

LCM of Numerators i.e. for 873,978,135 is 4268970

GCF of denominators i.e. for 304,631,367 is 1.

Thus, LCM of Fractions is 4268970.Finally, LCM of Fractions for 873/304, 978/631, 135/367 is 4268970.