Least Common Multiple of 566/377, 923/817

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 566/377, 923/817 quickly i.e. 522418 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 566/377, 923/817 is 522418.

LCM(566/377, 923/817) = 522418

LCM of 566/377, 923/817

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 566/377,923/817

Given numbers are 566/377,923/817

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 566,923

Least Common Multiple of Numerators i.e. LCM of 566,923 is 522418.

GCF of Denominators means GCF of 377,817 as per the given fractions.

GCF of 377,817 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 566,923

LCM of Fractions 566/377,923/817 is 522418

Given numbers has no common factors except 1. So, there LCM is their product i.e 522418

Least Common Multiple of 566,923 with GCF Formula

Least Common Multiple of 566,923 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 566,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,923) = 1

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

GCF(566,923) x common factors =1 x 1 = 1

LCM(566,923) = ( 566 × 923 ) / 1

LCM(566,923) = 522418 / 1

LCM(566,923) = 522418


Lets's calculate GCF of 377,817

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 522418/1

Therefore the LCM of Fractions 566/377,923/817 is 522418

Greatest Common Factor of 377,817 By Matching Biggest Common Factor Method

Greatest Common Factor of 377,817 By Matching Biggest Common Factor Method

Factors of 377

List of positive integer factors of 377 that divides 377 without a remainder.

1,13,29,377

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Greatest Common Factor

We found the factors 377,817 . The biggest common factor number is the GCF number.
So the greatest common factor 377,817 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 566/377, 923/817

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 566/377, 923/817?

Answer: LCM of Numerators as per given numbers 566/377, 923/817 is

LCM of Numerators i.e. for 566,923 is 522418

GCF of denominators i.e. for 377,817 is 1.

Thus, LCM of Fractions is 522418.Finally, LCM of Fractions for 566/377, 923/817 is 522418.