Least Common Multiple of 566/31, 145/83, 891/346

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 566/31, 145/83, 891/346 quickly i.e. 73124370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 566/31, 145/83, 891/346 is 73124370.

LCM(566/31, 145/83, 891/346) = 73124370

LCM of 566/31, 145/83, 891/346

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 566/31,145/83,891/346

Given numbers are 566/31,145/83,891/346

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 566,145,891

Least Common Multiple of Numerators i.e. LCM of 566,145,891 is 73124370.

GCF of Denominators means GCF of 31,83,346 as per the given fractions.

GCF of 31,83,346 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 566,145,891

LCM of Fractions 566/31,145/83,891/346 is 73124370

Given numbers has no common factors except 1. So, there LCM is their product i.e 73124370

Least Common Multiple of 566,145,891 with GCF Formula

Least Common Multiple of 566,145,891 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 566,145,891 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,145,891) = 1

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

GCF(566,145,891) x common factors =1 x 1 = 1

LCM(566,145,891) = ( 566 × 145 × 891 ) / 1

LCM(566,145,891) = 73124370 / 1

LCM(566,145,891) = 73124370


Lets's calculate GCF of 31,83,346

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73124370/1

Therefore the LCM of Fractions 566/31,145/83,891/346 is 73124370

Greatest Common Factor of 31,83,346 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,83,346 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 346

List of positive integer factors of 346 that divides 346 without a remainder.

1,2,173,346

Greatest Common Factor

We found the factors 31,83,346 . The biggest common factor number is the GCF number.
So the greatest common factor 31,83,346 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 566/31, 145/83, 891/346

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 566/31, 145/83, 891/346?

Answer: LCM of Numerators as per given numbers 566/31, 145/83, 891/346 is

LCM of Numerators i.e. for 566,145,891 is 73124370

GCF of denominators i.e. for 31,83,346 is 1.

Thus, LCM of Fractions is 73124370.Finally, LCM of Fractions for 566/31, 145/83, 891/346 is 73124370.