Least Common Multiple of 268/220, 9795/8345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 268/220, 9795/8345 quickly i.e. 525012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 268/220, 9795/8345 is 525012.

LCM(268/220, 9795/8345) = 525012

LCM of 268/220, 9795/8345

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 268/220,9795/8345

Given numbers are 268/220,9795/8345

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 268,9795

Least Common Multiple of Numerators i.e. LCM of 268,9795 is 2625060.

GCF of Denominators means GCF of 220,8345 as per the given fractions.

GCF of 220,8345 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 268,9795

LCM of Fractions 268/220,9795/8345 is 525012

Given numbers has no common factors except 1. So, there LCM is their product i.e 2625060

Least Common Multiple of 268,9795 with GCF Formula

Least Common Multiple of 268,9795 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 268,9795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,9795) = 1

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

GCF(268,9795) x common factors =1 x 1 = 1

LCM(268,9795) = ( 268 × 9795 ) / 1

LCM(268,9795) = 2625060 / 1

LCM(268,9795) = 2625060


Lets's calculate GCF of 220,8345

5 220, 8345
44, 1669

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2625060/5

Therefore the LCM of Fractions 268/220,9795/8345 is 525012

Greatest Common Factor of 220,8345 By Matching Biggest Common Factor Method

Greatest Common Factor of 220,8345 By Matching Biggest Common Factor Method

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Factors of 8345

List of positive integer factors of 8345 that divides 8345 without a remainder.

1,5,1669,8345

Greatest Common Factor

We found the factors 220,8345 . The biggest common factor number is the GCF number.
So the greatest common factor 220,8345 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 268/220, 9795/8345

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 268/220, 9795/8345?

Answer: LCM of Numerators as per given numbers 268/220, 9795/8345 is

LCM of Numerators i.e. for 268,9795 is 2625060

GCF of denominators i.e. for 220,8345 is 5.

Thus, LCM of Fractions is 525012.Finally, LCM of Fractions for 268/220, 9795/8345 is 525012.