Least Common Multiple of 82/272, 69/410, 522/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/272, 69/410, 522/748 quickly i.e. 246123 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/272, 69/410, 522/748 is 246123.

LCM(82/272, 69/410, 522/748) = 246123

LCM of 82/272, 69/410, 522/748

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 82/272,69/410,522/748

Given numbers are 82/272,69/410,522/748

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 82,69,522

Least Common Multiple of Numerators i.e. LCM of 82,69,522 is 492246.

GCF of Denominators means GCF of 272,410,748 as per the given fractions.

GCF of 272,410,748 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,69,522

LCM of Fractions 82/272,69/410,522/748 is 246123

2 82, 69, 522
3 41, 69, 261
41, 23, 87

∴ So the LCM of the given numbers is 2 x 3 x 41 x 23 x 87 = 492246

Least Common Multiple of 82,69,522 with GCF Formula

Least Common Multiple of 82,69,522 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 82,69,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,69,522) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(82,69,522) x common factors =1 x 6 = 6

LCM(82,69,522) = ( 82 × 69 × 522 ) / 6

LCM(82,69,522) = 2953476 / 6

LCM(82,69,522) = 492246


Lets's calculate GCF of 272,410,748

2 272, 410, 748
136, 205, 374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 492246/2

Therefore the LCM of Fractions 82/272,69/410,522/748 is 246123

Greatest Common Factor of 272,410,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,410,748 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 272,410,748 . The biggest common factor number is the GCF number.
So the greatest common factor 272,410,748 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 82/272, 69/410, 522/748

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 82/272, 69/410, 522/748?

Answer: LCM of Numerators as per given numbers 82/272, 69/410, 522/748 is

LCM of Numerators i.e. for 82,69,522 is 492246

GCF of denominators i.e. for 272,410,748 is 2.

Thus, LCM of Fractions is 246123.Finally, LCM of Fractions for 82/272, 69/410, 522/748 is 246123.