Least Common Multiple of 84/817, 72/538, 368/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/817, 72/538, 368/345 quickly i.e. 23184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/817, 72/538, 368/345 is 23184.

LCM(84/817, 72/538, 368/345) = 23184

LCM of 84/817, 72/538, 368/345

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 84/817,72/538,368/345

Given numbers are 84/817,72/538,368/345

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 84,72,368

Least Common Multiple of Numerators i.e. LCM of 84,72,368 is 23184.

GCF of Denominators means GCF of 817,538,345 as per the given fractions.

GCF of 817,538,345 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,72,368

LCM of Fractions 84/817,72/538,368/345 is 23184

2 84, 72, 368
2 42, 36, 184
2 21, 18, 92
3 21, 9, 46
7, 3, 46

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 3 x 46 = 23184

Least Common Multiple of 84,72,368 with GCF Formula

Least Common Multiple of 84,72,368 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 84,72,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,72,368) = 4

common factors(in case of two or more numbers have common factors) = 24

GCF(84,72,368) x common factors =4 x 24 = 96

LCM(84,72,368) = ( 84 × 72 × 368 ) / 96

LCM(84,72,368) = 2225664 / 96

LCM(84,72,368) = 23184


Lets's calculate GCF of 817,538,345

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23184/1

Therefore the LCM of Fractions 84/817,72/538,368/345 is 23184

Greatest Common Factor of 817,538,345 By Matching Biggest Common Factor Method

Greatest Common Factor of 817,538,345 By Matching Biggest Common Factor Method

Factors of 817

List of positive integer factors of 817 that divides 817 without a remainder.

1,19,43,817

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Greatest Common Factor

We found the factors 817,538,345 . The biggest common factor number is the GCF number.
So the greatest common factor 817,538,345 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 84/817, 72/538, 368/345

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 84/817, 72/538, 368/345?

Answer: LCM of Numerators as per given numbers 84/817, 72/538, 368/345 is

LCM of Numerators i.e. for 84,72,368 is 23184

GCF of denominators i.e. for 817,538,345 is 1.

Thus, LCM of Fractions is 23184.Finally, LCM of Fractions for 84/817, 72/538, 368/345 is 23184.