Least Common Multiple of 817/304, 102/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 817/304, 102/540 quickly i.e. 83334/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 817/304, 102/540 is 83334/4.

LCM(817/304, 102/540) = 83334/4

LCM of 817/304, 102/540

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 817/304,102/540

Given numbers are 817/304,102/540

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 817,102

Least Common Multiple of Numerators i.e. LCM of 817,102 is 83334.

GCF of Denominators means GCF of 304,540 as per the given fractions.

GCF of 304,540 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 817,102

LCM of Fractions 817/304,102/540 is 83334/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 83334

Least Common Multiple of 817,102 with GCF Formula

Least Common Multiple of 817,102 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 817,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,102) = 1

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

GCF(817,102) x common factors =1 x 1 = 1

LCM(817,102) = ( 817 × 102 ) / 1

LCM(817,102) = 83334 / 1

LCM(817,102) = 83334


Lets's calculate GCF of 304,540

2 304, 540
2 152, 270
76, 135

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83334/4

Therefore the LCM of Fractions 817/304,102/540 is 83334/4

Greatest Common Factor of 304,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 304,540 By Matching Biggest Common Factor Method

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 304,540 . The biggest common factor number is the GCF number.
So the greatest common factor 304,540 is 4.


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 817/304, 102/540

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 817/304, 102/540?

Answer: LCM of Numerators as per given numbers 817/304, 102/540 is

LCM of Numerators i.e. for 817,102 is 83334

GCF of denominators i.e. for 304,540 is 4.

Thus, LCM of Fractions is 83334/4.Finally, LCM of Fractions for 817/304, 102/540 is 83334/4.