Least Common Multiple of 827/92, 865/51, 241/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 827/92, 865/51, 241/820 quickly i.e. 172400555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 827/92, 865/51, 241/820 is 172400555.

LCM(827/92, 865/51, 241/820) = 172400555

LCM of 827/92, 865/51, 241/820

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 827/92,865/51,241/820

Given numbers are 827/92,865/51,241/820

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 827,865,241

Least Common Multiple of Numerators i.e. LCM of 827,865,241 is 172400555.

GCF of Denominators means GCF of 92,51,820 as per the given fractions.

GCF of 92,51,820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 827,865,241

LCM of Fractions 827/92,865/51,241/820 is 172400555

Given numbers has no common factors except 1. So, there LCM is their product i.e 172400555

Least Common Multiple of 827,865,241 with GCF Formula

Least Common Multiple of 827,865,241 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 827,865,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,865,241) = 1

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

GCF(827,865,241) x common factors =1 x 1 = 1

LCM(827,865,241) = ( 827 × 865 × 241 ) / 1

LCM(827,865,241) = 172400555 / 1

LCM(827,865,241) = 172400555


Lets's calculate GCF of 92,51,820

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172400555/1

Therefore the LCM of Fractions 827/92,865/51,241/820 is 172400555

Greatest Common Factor of 92,51,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,51,820 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 92,51,820 . The biggest common factor number is the GCF number.
So the greatest common factor 92,51,820 is 1.


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 827/92, 865/51, 241/820

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 827/92, 865/51, 241/820?

Answer: LCM of Numerators as per given numbers 827/92, 865/51, 241/820 is

LCM of Numerators i.e. for 827,865,241 is 172400555

GCF of denominators i.e. for 92,51,820 is 1.

Thus, LCM of Fractions is 172400555.Finally, LCM of Fractions for 827/92, 865/51, 241/820 is 172400555.