Least Common Multiple of 868/570, 7650/9441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 868/570, 7650/9441 quickly i.e. 1106700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 868/570, 7650/9441 is 1106700.

LCM(868/570, 7650/9441) = 1106700

LCM of 868/570, 7650/9441

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 868/570,7650/9441

Given numbers are 868/570,7650/9441

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 868,7650

Least Common Multiple of Numerators i.e. LCM of 868,7650 is 3320100.

GCF of Denominators means GCF of 570,9441 as per the given fractions.

GCF of 570,9441 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 868,7650

LCM of Fractions 868/570,7650/9441 is 1106700

2 868, 7650
434, 3825

∴ So the LCM of the given numbers is 2 x 434 x 3825 = 3320100

Least Common Multiple of 868,7650 with GCF Formula

Least Common Multiple of 868,7650 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 868,7650 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(868,7650) = 2

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

GCF(868,7650) x common factors =2 x 1 = 2

LCM(868,7650) = ( 868 × 7650 ) / 2

LCM(868,7650) = 6640200 / 2

LCM(868,7650) = 3320100


Lets's calculate GCF of 570,9441

3 570, 9441
190, 3147

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3320100/3

Therefore the LCM of Fractions 868/570,7650/9441 is 1106700

Greatest Common Factor of 570,9441 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,9441 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 9441

List of positive integer factors of 9441 that divides 9441 without a remainder.

1,3,9,1049,3147,9441

Greatest Common Factor

We found the factors 570,9441 . The biggest common factor number is the GCF number.
So the greatest common factor 570,9441 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 868/570, 7650/9441

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 868/570, 7650/9441?

Answer: LCM of Numerators as per given numbers 868/570, 7650/9441 is

LCM of Numerators i.e. for 868,7650 is 3320100

GCF of denominators i.e. for 570,9441 is 3.

Thus, LCM of Fractions is 1106700.Finally, LCM of Fractions for 868/570, 7650/9441 is 1106700.