Least Common Multiple of 9615/717, 4342/4560

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9615/717, 4342/4560 quickly i.e. 13916110 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9615/717, 4342/4560 is 13916110.

LCM(9615/717, 4342/4560) = 13916110

LCM of 9615/717, 4342/4560

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 9615/717,4342/4560

Given numbers are 9615/717,4342/4560

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 9615,4342

Least Common Multiple of Numerators i.e. LCM of 9615,4342 is 41748330.

GCF of Denominators means GCF of 717,4560 as per the given fractions.

GCF of 717,4560 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9615,4342

LCM of Fractions 9615/717,4342/4560 is 13916110

Given numbers has no common factors except 1. So, there LCM is their product i.e 41748330

Least Common Multiple of 9615,4342 with GCF Formula

Least Common Multiple of 9615,4342 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 9615,4342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9615,4342) = 1

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

GCF(9615,4342) x common factors =1 x 1 = 1

LCM(9615,4342) = ( 9615 × 4342 ) / 1

LCM(9615,4342) = 41748330 / 1

LCM(9615,4342) = 41748330


Lets's calculate GCF of 717,4560

3 717, 4560
239, 1520

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41748330/3

Therefore the LCM of Fractions 9615/717,4342/4560 is 13916110

Greatest Common Factor of 717,4560 By Matching Biggest Common Factor Method

Greatest Common Factor of 717,4560 By Matching Biggest Common Factor Method

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 4560

List of positive integer factors of 4560 that divides 4560 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,19,20,24,30,38,40,48,57,60,76,80,95,114,120,152,190,228,240,285,304,380,456,570,760,912,1140,1520,2280,4560

Greatest Common Factor

We found the factors 717,4560 . The biggest common factor number is the GCF number.
So the greatest common factor 717,4560 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 9615/717, 4342/4560

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 9615/717, 4342/4560?

Answer: LCM of Numerators as per given numbers 9615/717, 4342/4560 is

LCM of Numerators i.e. for 9615,4342 is 41748330

GCF of denominators i.e. for 717,4560 is 3.

Thus, LCM of Fractions is 13916110.Finally, LCM of Fractions for 9615/717, 4342/4560 is 13916110.