Least Common Multiple of 82/487, 983/51, 384/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/487, 983/51, 384/677 quickly i.e. 15476352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/487, 983/51, 384/677 is 15476352.

LCM(82/487, 983/51, 384/677) = 15476352

LCM of 82/487, 983/51, 384/677

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 82/487,983/51,384/677

Given numbers are 82/487,983/51,384/677

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 82,983,384

Least Common Multiple of Numerators i.e. LCM of 82,983,384 is 15476352.

GCF of Denominators means GCF of 487,51,677 as per the given fractions.

GCF of 487,51,677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,983,384

LCM of Fractions 82/487,983/51,384/677 is 15476352

2 82, 983, 384
41, 983, 192

∴ So the LCM of the given numbers is 2 x 41 x 983 x 192 = 15476352

Least Common Multiple of 82,983,384 with GCF Formula

Least Common Multiple of 82,983,384 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 82,983,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,983,384) = 1

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

GCF(82,983,384) x common factors =1 x 2 = 2

LCM(82,983,384) = ( 82 × 983 × 384 ) / 2

LCM(82,983,384) = 30952704 / 2

LCM(82,983,384) = 15476352


Lets's calculate GCF of 487,51,677

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15476352/1

Therefore the LCM of Fractions 82/487,983/51,384/677 is 15476352

Greatest Common Factor of 487,51,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 487,51,677 By Matching Biggest Common Factor Method

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1,487

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Greatest Common Factor

We found the factors 487,51,677 . The biggest common factor number is the GCF number.
So the greatest common factor 487,51,677 is 1.


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 82/487, 983/51, 384/677

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 82/487, 983/51, 384/677?

Answer: LCM of Numerators as per given numbers 82/487, 983/51, 384/677 is

LCM of Numerators i.e. for 82,983,384 is 15476352

GCF of denominators i.e. for 487,51,677 is 1.

Thus, LCM of Fractions is 15476352.Finally, LCM of Fractions for 82/487, 983/51, 384/677 is 15476352.