Least Common Multiple of 82/570, 6604/6794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/570, 6604/6794 quickly i.e. 135382 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/570, 6604/6794 is 135382.

LCM(82/570, 6604/6794) = 135382

LCM of 82/570, 6604/6794

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 82/570,6604/6794

Given numbers are 82/570,6604/6794

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 82,6604

Least Common Multiple of Numerators i.e. LCM of 82,6604 is 270764.

GCF of Denominators means GCF of 570,6794 as per the given fractions.

GCF of 570,6794 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,6604

LCM of Fractions 82/570,6604/6794 is 135382

2 82, 6604
41, 3302

∴ So the LCM of the given numbers is 2 x 41 x 3302 = 270764

Least Common Multiple of 82,6604 with GCF Formula

Least Common Multiple of 82,6604 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 82,6604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,6604) = 2

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

GCF(82,6604) x common factors =2 x 1 = 2

LCM(82,6604) = ( 82 × 6604 ) / 2

LCM(82,6604) = 541528 / 2

LCM(82,6604) = 270764


Lets's calculate GCF of 570,6794

2 570, 6794
285, 3397

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270764/2

Therefore the LCM of Fractions 82/570,6604/6794 is 135382

Greatest Common Factor of 570,6794 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,6794 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 6794

List of positive integer factors of 6794 that divides 6794 without a remainder.

1,2,43,79,86,158,3397,6794

Greatest Common Factor

We found the factors 570,6794 . The biggest common factor number is the GCF number.
So the greatest common factor 570,6794 is 2.


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 82/570, 6604/6794

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 82/570, 6604/6794?

Answer: LCM of Numerators as per given numbers 82/570, 6604/6794 is

LCM of Numerators i.e. for 82,6604 is 270764

GCF of denominators i.e. for 570,6794 is 2.

Thus, LCM of Fractions is 135382.Finally, LCM of Fractions for 82/570, 6604/6794 is 135382.