Least Common Multiple of 82/756, 371/162, 259/328

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/756, 371/162, 259/328 quickly i.e. 562807 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/756, 371/162, 259/328 is 562807.

LCM(82/756, 371/162, 259/328) = 562807

LCM of 82/756, 371/162, 259/328

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 82/756,371/162,259/328

Given numbers are 82/756,371/162,259/328

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 82,371,259

Least Common Multiple of Numerators i.e. LCM of 82,371,259 is 1125614.

GCF of Denominators means GCF of 756,162,328 as per the given fractions.

GCF of 756,162,328 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,371,259

LCM of Fractions 82/756,371/162,259/328 is 562807

7 82, 371, 259
82, 53, 37

∴ So the LCM of the given numbers is 7 x 82 x 53 x 37 = 1125614

Least Common Multiple of 82,371,259 with GCF Formula

Least Common Multiple of 82,371,259 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 82,371,259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,371,259) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(82,371,259) x common factors =1 x 7 = 7

LCM(82,371,259) = ( 82 × 371 × 259 ) / 7

LCM(82,371,259) = 7879298 / 7

LCM(82,371,259) = 1125614


Lets's calculate GCF of 756,162,328

2 756, 162, 328
378, 81, 164

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1125614/2

Therefore the LCM of Fractions 82/756,371/162,259/328 is 562807

Greatest Common Factor of 756,162,328 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,162,328 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 162

List of positive integer factors of 162 that divides 162 without a remainder.

1,2,3,6,9,18,27,54,81,162

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Greatest Common Factor

We found the factors 756,162,328 . The biggest common factor number is the GCF number.
So the greatest common factor 756,162,328 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 82/756, 371/162, 259/328

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 82/756, 371/162, 259/328?

Answer: LCM of Numerators as per given numbers 82/756, 371/162, 259/328 is

LCM of Numerators i.e. for 82,371,259 is 1125614

GCF of denominators i.e. for 756,162,328 is 2.

Thus, LCM of Fractions is 562807.Finally, LCM of Fractions for 82/756, 371/162, 259/328 is 562807.