Least Common Multiple of 82/638, 486/364, 795/912

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/638, 486/364, 795/912 quickly i.e. 2640195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/638, 486/364, 795/912 is 2640195.

LCM(82/638, 486/364, 795/912) = 2640195

LCM of 82/638, 486/364, 795/912

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 82/638,486/364,795/912

Given numbers are 82/638,486/364,795/912

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 82,486,795

Least Common Multiple of Numerators i.e. LCM of 82,486,795 is 5280390.

GCF of Denominators means GCF of 638,364,912 as per the given fractions.

GCF of 638,364,912 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,486,795

LCM of Fractions 82/638,486/364,795/912 is 2640195

2 82, 486, 795
3 41, 243, 795
41, 81, 265

∴ So the LCM of the given numbers is 2 x 3 x 41 x 81 x 265 = 5280390

Least Common Multiple of 82,486,795 with GCF Formula

Least Common Multiple of 82,486,795 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 82,486,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,486,795) = 1

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

GCF(82,486,795) x common factors =1 x 6 = 6

LCM(82,486,795) = ( 82 × 486 × 795 ) / 6

LCM(82,486,795) = 31682340 / 6

LCM(82,486,795) = 5280390


Lets's calculate GCF of 638,364,912

2 638, 364, 912
319, 182, 456

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5280390/2

Therefore the LCM of Fractions 82/638,486/364,795/912 is 2640195

Greatest Common Factor of 638,364,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,364,912 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 364

List of positive integer factors of 364 that divides 364 without a remainder.

1,2,4,7,13,14,26,28,52,91,182,364

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 638,364,912 . The biggest common factor number is the GCF number.
So the greatest common factor 638,364,912 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 82/638, 486/364, 795/912

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 82/638, 486/364, 795/912?

Answer: LCM of Numerators as per given numbers 82/638, 486/364, 795/912 is

LCM of Numerators i.e. for 82,486,795 is 5280390

GCF of denominators i.e. for 638,364,912 is 2.

Thus, LCM of Fractions is 2640195.Finally, LCM of Fractions for 82/638, 486/364, 795/912 is 2640195.