Least Common Multiple of 817/90, 277/81, 362/562

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 817/90, 277/81, 362/562 quickly i.e. 81923858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 817/90, 277/81, 362/562 is 81923858.

LCM(817/90, 277/81, 362/562) = 81923858

LCM of 817/90, 277/81, 362/562

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 817/90,277/81,362/562

Given numbers are 817/90,277/81,362/562

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 817,277,362

Least Common Multiple of Numerators i.e. LCM of 817,277,362 is 81923858.

GCF of Denominators means GCF of 90,81,562 as per the given fractions.

GCF of 90,81,562 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 817,277,362

LCM of Fractions 817/90,277/81,362/562 is 81923858

Given numbers has no common factors except 1. So, there LCM is their product i.e 81923858

Least Common Multiple of 817,277,362 with GCF Formula

Least Common Multiple of 817,277,362 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 817,277,362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,277,362) = 1

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

GCF(817,277,362) x common factors =1 x 1 = 1

LCM(817,277,362) = ( 817 × 277 × 362 ) / 1

LCM(817,277,362) = 81923858 / 1

LCM(817,277,362) = 81923858


Lets's calculate GCF of 90,81,562

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81923858/1

Therefore the LCM of Fractions 817/90,277/81,362/562 is 81923858

Greatest Common Factor of 90,81,562 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,81,562 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 562

List of positive integer factors of 562 that divides 562 without a remainder.

1,2,281,562

Greatest Common Factor

We found the factors 90,81,562 . The biggest common factor number is the GCF number.
So the greatest common factor 90,81,562 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 817/90, 277/81, 362/562

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 817/90, 277/81, 362/562?

Answer: LCM of Numerators as per given numbers 817/90, 277/81, 362/562 is

LCM of Numerators i.e. for 817,277,362 is 81923858

GCF of denominators i.e. for 90,81,562 is 1.

Thus, LCM of Fractions is 81923858.Finally, LCM of Fractions for 817/90, 277/81, 362/562 is 81923858.