Least Common Multiple of 9245/260, 2325/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9245/260, 2325/715 quickly i.e. 4298925/65 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9245/260, 2325/715 is 4298925/65.

LCM(9245/260, 2325/715) = 4298925/65

LCM of 9245/260, 2325/715

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 9245/260,2325/715

Given numbers are 9245/260,2325/715

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 9245,2325

Least Common Multiple of Numerators i.e. LCM of 9245,2325 is 4298925.

GCF of Denominators means GCF of 260,715 as per the given fractions.

GCF of 260,715 is 65 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9245,2325

LCM of Fractions 9245/260,2325/715 is 4298925/65

5 9245, 2325
1849, 465

∴ So the LCM of the given numbers is 5 x 1849 x 465 = 4298925

Least Common Multiple of 9245,2325 with GCF Formula

Least Common Multiple of 9245,2325 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 9245,2325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9245,2325) = 5

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

GCF(9245,2325) x common factors =5 x 1 = 5

LCM(9245,2325) = ( 9245 × 2325 ) / 5

LCM(9245,2325) = 21494625 / 5

LCM(9245,2325) = 4298925


Lets's calculate GCF of 260,715

5 260, 715
13 52, 143
4, 11

∴ So the GCF of the given numbers is 5 x 13 = 65

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4298925/65

Therefore the LCM of Fractions 9245/260,2325/715 is 4298925/65

Greatest Common Factor of 260,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,715 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 260,715 . The biggest common factor number is the GCF number.
So the greatest common factor 260,715 is 65.


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 9245/260, 2325/715

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 9245/260, 2325/715?

Answer: LCM of Numerators as per given numbers 9245/260, 2325/715 is

LCM of Numerators i.e. for 9245,2325 is 4298925

GCF of denominators i.e. for 260,715 is 65.

Thus, LCM of Fractions is 4298925/65.Finally, LCM of Fractions for 9245/260, 2325/715 is 4298925/65.