Least Common Multiple of 210/82, 515/7339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 210/82, 515/7339 quickly i.e. 21630/41 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 210/82, 515/7339 is 21630/41.

LCM(210/82, 515/7339) = 21630/41

LCM of 210/82, 515/7339

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 210/82,515/7339

Given numbers are 210/82,515/7339

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 210,515

Least Common Multiple of Numerators i.e. LCM of 210,515 is 21630.

GCF of Denominators means GCF of 82,7339 as per the given fractions.

GCF of 82,7339 is 41 as it is the largest common factor for these numbers.

Lets's calculate LCM of 210,515

LCM of Fractions 210/82,515/7339 is 21630/41

5 210, 515
42, 103

∴ So the LCM of the given numbers is 5 x 42 x 103 = 21630

Least Common Multiple of 210,515 with GCF Formula

Least Common Multiple of 210,515 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 210,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,515) = 5

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

GCF(210,515) x common factors =5 x 1 = 5

LCM(210,515) = ( 210 × 515 ) / 5

LCM(210,515) = 108150 / 5

LCM(210,515) = 21630


Lets's calculate GCF of 82,7339

41 82, 7339
2, 179

∴ So the GCF of the given numbers is 41 = 41

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21630/41

Therefore the LCM of Fractions 210/82,515/7339 is 21630/41

Greatest Common Factor of 82,7339 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,7339 By Matching Biggest Common Factor Method

Factors of 82

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

1,2,41,82

Factors of 7339

List of positive integer factors of 7339 that divides 7339 without a remainder.

1,41,179,7339

Greatest Common Factor

We found the factors 82,7339 . The biggest common factor number is the GCF number.
So the greatest common factor 82,7339 is 41.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 210/82, 515/7339

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 210/82, 515/7339?

Answer: LCM of Numerators as per given numbers 210/82, 515/7339 is

LCM of Numerators i.e. for 210,515 is 21630

GCF of denominators i.e. for 82,7339 is 41.

Thus, LCM of Fractions is 21630/41.Finally, LCM of Fractions for 210/82, 515/7339 is 21630/41.