Least Common Multiple of 31/846, 10/867, 790/933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/846, 10/867, 790/933 quickly i.e. 24490/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/846, 10/867, 790/933 is 24490/3.

LCM(31/846, 10/867, 790/933) = 24490/3

LCM of 31/846, 10/867, 790/933

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 31/846,10/867,790/933

Given numbers are 31/846,10/867,790/933

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 31,10,790

Least Common Multiple of Numerators i.e. LCM of 31,10,790 is 24490.

GCF of Denominators means GCF of 846,867,933 as per the given fractions.

GCF of 846,867,933 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,10,790

LCM of Fractions 31/846,10/867,790/933 is 24490/3

2 31, 10, 790
5 31, 5, 395
31, 1, 79

∴ So the LCM of the given numbers is 2 x 5 x 31 x 1 x 79 = 24490

Least Common Multiple of 31,10,790 with GCF Formula

Least Common Multiple of 31,10,790 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 31,10,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,10,790) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(31,10,790) x common factors =1 x 10 = 10

LCM(31,10,790) = ( 31 × 10 × 790 ) / 10

LCM(31,10,790) = 244900 / 10

LCM(31,10,790) = 24490


Lets's calculate GCF of 846,867,933

3 846, 867, 933
282, 289, 311

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24490/3

Therefore the LCM of Fractions 31/846,10/867,790/933 is 24490/3

Greatest Common Factor of 846,867,933 By Matching Biggest Common Factor Method

Greatest Common Factor of 846,867,933 By Matching Biggest Common Factor Method

Factors of 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Greatest Common Factor

We found the factors 846,867,933 . The biggest common factor number is the GCF number.
So the greatest common factor 846,867,933 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 31/846, 10/867, 790/933

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 31/846, 10/867, 790/933?

Answer: LCM of Numerators as per given numbers 31/846, 10/867, 790/933 is

LCM of Numerators i.e. for 31,10,790 is 24490

GCF of denominators i.e. for 846,867,933 is 3.

Thus, LCM of Fractions is 24490/3.Finally, LCM of Fractions for 31/846, 10/867, 790/933 is 24490/3.