Least Common Multiple of 9765/230, 2952/5615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9765/230, 2952/5615 quickly i.e. 640584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9765/230, 2952/5615 is 640584.

LCM(9765/230, 2952/5615) = 640584

LCM of 9765/230, 2952/5615

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 9765/230,2952/5615

Given numbers are 9765/230,2952/5615

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 9765,2952

Least Common Multiple of Numerators i.e. LCM of 9765,2952 is 3202920.

GCF of Denominators means GCF of 230,5615 as per the given fractions.

GCF of 230,5615 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9765,2952

LCM of Fractions 9765/230,2952/5615 is 640584

3 9765, 2952
3 3255, 984
1085, 328

∴ So the LCM of the given numbers is 3 x 3 x 1085 x 328 = 3202920

Least Common Multiple of 9765,2952 with GCF Formula

Least Common Multiple of 9765,2952 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 9765,2952 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9765,2952) = 9

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

GCF(9765,2952) x common factors =9 x 1 = 9

LCM(9765,2952) = ( 9765 × 2952 ) / 9

LCM(9765,2952) = 28826280 / 9

LCM(9765,2952) = 3202920


Lets's calculate GCF of 230,5615

5 230, 5615
46, 1123

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3202920/5

Therefore the LCM of Fractions 9765/230,2952/5615 is 640584

Greatest Common Factor of 230,5615 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,5615 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 5615

List of positive integer factors of 5615 that divides 5615 without a remainder.

1,5,1123,5615

Greatest Common Factor

We found the factors 230,5615 . The biggest common factor number is the GCF number.
So the greatest common factor 230,5615 is 5.


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 9765/230, 2952/5615

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 9765/230, 2952/5615?

Answer: LCM of Numerators as per given numbers 9765/230, 2952/5615 is

LCM of Numerators i.e. for 9765,2952 is 3202920

GCF of denominators i.e. for 230,5615 is 5.

Thus, LCM of Fractions is 640584.Finally, LCM of Fractions for 9765/230, 2952/5615 is 640584.