Least Common Multiple of 8002/300, 5910/969

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8002/300, 5910/969 quickly i.e. 7881970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8002/300, 5910/969 is 7881970.

LCM(8002/300, 5910/969) = 7881970

LCM of 8002/300, 5910/969

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 8002/300,5910/969

Given numbers are 8002/300,5910/969

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 8002,5910

Least Common Multiple of Numerators i.e. LCM of 8002,5910 is 23645910.

GCF of Denominators means GCF of 300,969 as per the given fractions.

GCF of 300,969 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8002,5910

LCM of Fractions 8002/300,5910/969 is 7881970

2 8002, 5910
4001, 2955

∴ So the LCM of the given numbers is 2 x 4001 x 2955 = 23645910

Least Common Multiple of 8002,5910 with GCF Formula

Least Common Multiple of 8002,5910 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 8002,5910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8002,5910) = 2

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

GCF(8002,5910) x common factors =2 x 1 = 2

LCM(8002,5910) = ( 8002 × 5910 ) / 2

LCM(8002,5910) = 47291820 / 2

LCM(8002,5910) = 23645910


Lets's calculate GCF of 300,969

3 300, 969
100, 323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23645910/3

Therefore the LCM of Fractions 8002/300,5910/969 is 7881970

Greatest Common Factor of 300,969 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,969 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 969

List of positive integer factors of 969 that divides 969 without a remainder.

1,3,17,19,51,57,323,969

Greatest Common Factor

We found the factors 300,969 . The biggest common factor number is the GCF number.
So the greatest common factor 300,969 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 8002/300, 5910/969

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 8002/300, 5910/969?

Answer: LCM of Numerators as per given numbers 8002/300, 5910/969 is

LCM of Numerators i.e. for 8002,5910 is 23645910

GCF of denominators i.e. for 300,969 is 3.

Thus, LCM of Fractions is 7881970.Finally, LCM of Fractions for 8002/300, 5910/969 is 7881970.