Least Common Multiple of 705/47, 771/20, 566/82

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 705/47, 771/20, 566/82 quickly i.e. 102550710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 705/47, 771/20, 566/82 is 102550710.

LCM(705/47, 771/20, 566/82) = 102550710

LCM of 705/47, 771/20, 566/82

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 705/47,771/20,566/82

Given numbers are 705/47,771/20,566/82

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 705,771,566

Least Common Multiple of Numerators i.e. LCM of 705,771,566 is 102550710.

GCF of Denominators means GCF of 47,20,82 as per the given fractions.

GCF of 47,20,82 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 705,771,566

LCM of Fractions 705/47,771/20,566/82 is 102550710

3 705, 771, 566
235, 257, 566

∴ So the LCM of the given numbers is 3 x 235 x 257 x 566 = 102550710

Least Common Multiple of 705,771,566 with GCF Formula

Least Common Multiple of 705,771,566 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 705,771,566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,771,566) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(705,771,566) x common factors =1 x 3 = 3

LCM(705,771,566) = ( 705 × 771 × 566 ) / 3

LCM(705,771,566) = 307652130 / 3

LCM(705,771,566) = 102550710


Lets's calculate GCF of 47,20,82

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102550710/1

Therefore the LCM of Fractions 705/47,771/20,566/82 is 102550710

Greatest Common Factor of 47,20,82 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,20,82 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Greatest Common Factor

We found the factors 47,20,82 . The biggest common factor number is the GCF number.
So the greatest common factor 47,20,82 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 705/47, 771/20, 566/82

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 705/47, 771/20, 566/82?

Answer: LCM of Numerators as per given numbers 705/47, 771/20, 566/82 is

LCM of Numerators i.e. for 705,771,566 is 102550710

GCF of denominators i.e. for 47,20,82 is 1.

Thus, LCM of Fractions is 102550710.Finally, LCM of Fractions for 705/47, 771/20, 566/82 is 102550710.