Least Common Multiple of 9242/170, 8688/4305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9242/170, 8688/4305 quickly i.e. 40147248/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9242/170, 8688/4305 is 40147248/5.

LCM(9242/170, 8688/4305) = 40147248/5

LCM of 9242/170, 8688/4305

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 9242/170,8688/4305

Given numbers are 9242/170,8688/4305

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 9242,8688

Least Common Multiple of Numerators i.e. LCM of 9242,8688 is 40147248.

GCF of Denominators means GCF of 170,4305 as per the given fractions.

GCF of 170,4305 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9242,8688

LCM of Fractions 9242/170,8688/4305 is 40147248/5

2 9242, 8688
4621, 4344

∴ So the LCM of the given numbers is 2 x 4621 x 4344 = 40147248

Least Common Multiple of 9242,8688 with GCF Formula

Least Common Multiple of 9242,8688 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 9242,8688 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9242,8688) = 2

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

GCF(9242,8688) x common factors =2 x 1 = 2

LCM(9242,8688) = ( 9242 × 8688 ) / 2

LCM(9242,8688) = 80294496 / 2

LCM(9242,8688) = 40147248


Lets's calculate GCF of 170,4305

5 170, 4305
34, 861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40147248/5

Therefore the LCM of Fractions 9242/170,8688/4305 is 40147248/5

Greatest Common Factor of 170,4305 By Matching Biggest Common Factor Method

Greatest Common Factor of 170,4305 By Matching Biggest Common Factor Method

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 4305

List of positive integer factors of 4305 that divides 4305 without a remainder.

1,3,5,7,15,21,35,41,105,123,205,287,615,861,1435,4305

Greatest Common Factor

We found the factors 170,4305 . The biggest common factor number is the GCF number.
So the greatest common factor 170,4305 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 9242/170, 8688/4305

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 9242/170, 8688/4305?

Answer: LCM of Numerators as per given numbers 9242/170, 8688/4305 is

LCM of Numerators i.e. for 9242,8688 is 40147248

GCF of denominators i.e. for 170,4305 is 5.

Thus, LCM of Fractions is 40147248/5.Finally, LCM of Fractions for 9242/170, 8688/4305 is 40147248/5.