Least Common Multiple of 8650/792, 5806/2970

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8650/792, 5806/2970 quickly i.e. 25110950/198 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8650/792, 5806/2970 is 25110950/198.

LCM(8650/792, 5806/2970) = 25110950/198

LCM of 8650/792, 5806/2970

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 8650/792,5806/2970

Given numbers are 8650/792,5806/2970

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 8650,5806

Least Common Multiple of Numerators i.e. LCM of 8650,5806 is 25110950.

GCF of Denominators means GCF of 792,2970 as per the given fractions.

GCF of 792,2970 is 198 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8650,5806

LCM of Fractions 8650/792,5806/2970 is 25110950/198

2 8650, 5806
4325, 2903

∴ So the LCM of the given numbers is 2 x 4325 x 2903 = 25110950

Least Common Multiple of 8650,5806 with GCF Formula

Least Common Multiple of 8650,5806 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 8650,5806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8650,5806) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(8650,5806) x common factors =2 x 1 = 2

LCM(8650,5806) = ( 8650 × 5806 ) / 2

LCM(8650,5806) = 50221900 / 2

LCM(8650,5806) = 25110950


Lets's calculate GCF of 792,2970

2 792, 2970
3 396, 1485
3 132, 495
11 44, 165
4, 15

∴ So the GCF of the given numbers is 2 x 3 x 3 x 11 = 198

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25110950/198

Therefore the LCM of Fractions 8650/792,5806/2970 is 25110950/198

Greatest Common Factor of 792,2970 By Matching Biggest Common Factor Method

Greatest Common Factor of 792,2970 By Matching Biggest Common Factor Method

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 2970

List of positive integer factors of 2970 that divides 2970 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,90,99,110,135,165,198,270,297,330,495,594,990,1485,2970

Greatest Common Factor

We found the factors 792,2970 . The biggest common factor number is the GCF number.
So the greatest common factor 792,2970 is 198.


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 8650/792, 5806/2970

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 8650/792, 5806/2970?

Answer: LCM of Numerators as per given numbers 8650/792, 5806/2970 is

LCM of Numerators i.e. for 8650,5806 is 25110950

GCF of denominators i.e. for 792,2970 is 198.

Thus, LCM of Fractions is 25110950/198.Finally, LCM of Fractions for 8650/792, 5806/2970 is 25110950/198.