Least Common Multiple of 82/242, 253/484, 364/517

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/242, 253/484, 364/517 quickly i.e. 343252 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/242, 253/484, 364/517 is 343252.

LCM(82/242, 253/484, 364/517) = 343252

LCM of 82/242, 253/484, 364/517

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 82/242,253/484,364/517

Given numbers are 82/242,253/484,364/517

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 82,253,364

Least Common Multiple of Numerators i.e. LCM of 82,253,364 is 3775772.

GCF of Denominators means GCF of 242,484,517 as per the given fractions.

GCF of 242,484,517 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,253,364

LCM of Fractions 82/242,253/484,364/517 is 343252

2 82, 253, 364
41, 253, 182

∴ So the LCM of the given numbers is 2 x 41 x 253 x 182 = 3775772

Least Common Multiple of 82,253,364 with GCF Formula

Least Common Multiple of 82,253,364 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 82,253,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,253,364) = 1

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

GCF(82,253,364) x common factors =1 x 2 = 2

LCM(82,253,364) = ( 82 × 253 × 364 ) / 2

LCM(82,253,364) = 7551544 / 2

LCM(82,253,364) = 3775772


Lets's calculate GCF of 242,484,517

11 242, 484, 517
22, 44, 47

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3775772/11

Therefore the LCM of Fractions 82/242,253/484,364/517 is 343252

Greatest Common Factor of 242,484,517 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,484,517 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 517

List of positive integer factors of 517 that divides 517 without a remainder.

1,11,47,517

Greatest Common Factor

We found the factors 242,484,517 . The biggest common factor number is the GCF number.
So the greatest common factor 242,484,517 is 11.


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 82/242, 253/484, 364/517

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 82/242, 253/484, 364/517?

Answer: LCM of Numerators as per given numbers 82/242, 253/484, 364/517 is

LCM of Numerators i.e. for 82,253,364 is 3775772

GCF of denominators i.e. for 242,484,517 is 11.

Thus, LCM of Fractions is 343252.Finally, LCM of Fractions for 82/242, 253/484, 364/517 is 343252.