Least Common Multiple of 84/338, 796/631, 413/677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/338, 796/631, 413/677 quickly i.e. 986244 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/338, 796/631, 413/677 is 986244.

LCM(84/338, 796/631, 413/677) = 986244

LCM of 84/338, 796/631, 413/677

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 84/338,796/631,413/677

Given numbers are 84/338,796/631,413/677

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 84,796,413

Least Common Multiple of Numerators i.e. LCM of 84,796,413 is 986244.

GCF of Denominators means GCF of 338,631,677 as per the given fractions.

GCF of 338,631,677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,796,413

LCM of Fractions 84/338,796/631,413/677 is 986244

2 84, 796, 413
2 42, 398, 413
7 21, 199, 413
3, 199, 59

∴ So the LCM of the given numbers is 2 x 2 x 7 x 3 x 199 x 59 = 986244

Least Common Multiple of 84,796,413 with GCF Formula

Least Common Multiple of 84,796,413 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 84,796,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,796,413) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(84,796,413) x common factors =1 x 28 = 28

LCM(84,796,413) = ( 84 × 796 × 413 ) / 28

LCM(84,796,413) = 27614832 / 28

LCM(84,796,413) = 986244


Lets's calculate GCF of 338,631,677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 986244/1

Therefore the LCM of Fractions 84/338,796/631,413/677 is 986244

Greatest Common Factor of 338,631,677 By Matching Biggest Common Factor Method

Greatest Common Factor of 338,631,677 By Matching Biggest Common Factor Method

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

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 338,631,677 . The biggest common factor number is the GCF number.
So the greatest common factor 338,631,677 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 84/338, 796/631, 413/677

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 84/338, 796/631, 413/677?

Answer: LCM of Numerators as per given numbers 84/338, 796/631, 413/677 is

LCM of Numerators i.e. for 84,796,413 is 986244

GCF of denominators i.e. for 338,631,677 is 1.

Thus, LCM of Fractions is 986244.Finally, LCM of Fractions for 84/338, 796/631, 413/677 is 986244.