Least Common Multiple of 82/564, 61/459, 106/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/564, 61/459, 106/500 quickly i.e. 265106 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/564, 61/459, 106/500 is 265106.

LCM(82/564, 61/459, 106/500) = 265106

LCM of 82/564, 61/459, 106/500

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 82/564,61/459,106/500

Given numbers are 82/564,61/459,106/500

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 82,61,106

Least Common Multiple of Numerators i.e. LCM of 82,61,106 is 265106.

GCF of Denominators means GCF of 564,459,500 as per the given fractions.

GCF of 564,459,500 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,61,106

LCM of Fractions 82/564,61/459,106/500 is 265106

2 82, 61, 106
41, 61, 53

∴ So the LCM of the given numbers is 2 x 41 x 61 x 53 = 265106

Least Common Multiple of 82,61,106 with GCF Formula

Least Common Multiple of 82,61,106 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 82,61,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,61,106) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(82,61,106) x common factors =1 x 2 = 2

LCM(82,61,106) = ( 82 × 61 × 106 ) / 2

LCM(82,61,106) = 530212 / 2

LCM(82,61,106) = 265106


Lets's calculate GCF of 564,459,500

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 265106/1

Therefore the LCM of Fractions 82/564,61/459,106/500 is 265106

Greatest Common Factor of 564,459,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,459,500 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 564,459,500 . The biggest common factor number is the GCF number.
So the greatest common factor 564,459,500 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 82/564, 61/459, 106/500

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 82/564, 61/459, 106/500?

Answer: LCM of Numerators as per given numbers 82/564, 61/459, 106/500 is

LCM of Numerators i.e. for 82,61,106 is 265106

GCF of denominators i.e. for 564,459,500 is 1.

Thus, LCM of Fractions is 265106.Finally, LCM of Fractions for 82/564, 61/459, 106/500 is 265106.