Least Common Multiple of 82/368, 544/496, 318/856

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/368, 544/496, 318/856 quickly i.e. 443292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/368, 544/496, 318/856 is 443292.

LCM(82/368, 544/496, 318/856) = 443292

LCM of 82/368, 544/496, 318/856

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 82/368,544/496,318/856

Given numbers are 82/368,544/496,318/856

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 82,544,318

Least Common Multiple of Numerators i.e. LCM of 82,544,318 is 3546336.

GCF of Denominators means GCF of 368,496,856 as per the given fractions.

GCF of 368,496,856 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,544,318

LCM of Fractions 82/368,544/496,318/856 is 443292

2 82, 544, 318
41, 272, 159

∴ So the LCM of the given numbers is 2 x 41 x 272 x 159 = 3546336

Least Common Multiple of 82,544,318 with GCF Formula

Least Common Multiple of 82,544,318 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 82,544,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,544,318) = 2

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

GCF(82,544,318) x common factors =2 x 2 = 4

LCM(82,544,318) = ( 82 × 544 × 318 ) / 4

LCM(82,544,318) = 14185344 / 4

LCM(82,544,318) = 3546336


Lets's calculate GCF of 368,496,856

2 368, 496, 856
2 184, 248, 428
2 92, 124, 214
46, 62, 107

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3546336/8

Therefore the LCM of Fractions 82/368,544/496,318/856 is 443292

Greatest Common Factor of 368,496,856 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,496,856 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Greatest Common Factor

We found the factors 368,496,856 . The biggest common factor number is the GCF number.
So the greatest common factor 368,496,856 is 8.


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 82/368, 544/496, 318/856

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 82/368, 544/496, 318/856?

Answer: LCM of Numerators as per given numbers 82/368, 544/496, 318/856 is

LCM of Numerators i.e. for 82,544,318 is 3546336

GCF of denominators i.e. for 368,496,856 is 8.

Thus, LCM of Fractions is 443292.Finally, LCM of Fractions for 82/368, 544/496, 318/856 is 443292.