Least Common Multiple of 321/84, 338/17, 814/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 321/84, 338/17, 814/635 quickly i.e. 44158686 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 321/84, 338/17, 814/635 is 44158686.

LCM(321/84, 338/17, 814/635) = 44158686

LCM of 321/84, 338/17, 814/635

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 321/84,338/17,814/635

Given numbers are 321/84,338/17,814/635

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 321,338,814

Least Common Multiple of Numerators i.e. LCM of 321,338,814 is 44158686.

GCF of Denominators means GCF of 84,17,635 as per the given fractions.

GCF of 84,17,635 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 321,338,814

LCM of Fractions 321/84,338/17,814/635 is 44158686

2 321, 338, 814
321, 169, 407

∴ So the LCM of the given numbers is 2 x 321 x 169 x 407 = 44158686

Least Common Multiple of 321,338,814 with GCF Formula

Least Common Multiple of 321,338,814 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 321,338,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,338,814) = 1

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

GCF(321,338,814) x common factors =1 x 2 = 2

LCM(321,338,814) = ( 321 × 338 × 814 ) / 2

LCM(321,338,814) = 88317372 / 2

LCM(321,338,814) = 44158686


Lets's calculate GCF of 84,17,635

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44158686/1

Therefore the LCM of Fractions 321/84,338/17,814/635 is 44158686

Greatest Common Factor of 84,17,635 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,17,635 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Greatest Common Factor

We found the factors 84,17,635 . The biggest common factor number is the GCF number.
So the greatest common factor 84,17,635 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 321/84, 338/17, 814/635

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 321/84, 338/17, 814/635?

Answer: LCM of Numerators as per given numbers 321/84, 338/17, 814/635 is

LCM of Numerators i.e. for 321,338,814 is 44158686

GCF of denominators i.e. for 84,17,635 is 1.

Thus, LCM of Fractions is 44158686.Finally, LCM of Fractions for 321/84, 338/17, 814/635 is 44158686.