Least Common Multiple of 933/559, 678/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 933/559, 678/221 quickly i.e. 210858/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 933/559, 678/221 is 210858/13.

LCM(933/559, 678/221) = 210858/13

LCM of 933/559, 678/221

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 933/559,678/221

Given numbers are 933/559,678/221

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 933,678

Least Common Multiple of Numerators i.e. LCM of 933,678 is 210858.

GCF of Denominators means GCF of 559,221 as per the given fractions.

GCF of 559,221 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 933,678

LCM of Fractions 933/559,678/221 is 210858/13

3 933, 678
311, 226

∴ So the LCM of the given numbers is 3 x 311 x 226 = 210858

Least Common Multiple of 933,678 with GCF Formula

Least Common Multiple of 933,678 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 933,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(933,678) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(933,678) x common factors =3 x 1 = 3

LCM(933,678) = ( 933 × 678 ) / 3

LCM(933,678) = 632574 / 3

LCM(933,678) = 210858


Lets's calculate GCF of 559,221

13 559, 221
43, 17

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210858/13

Therefore the LCM of Fractions 933/559,678/221 is 210858/13

Greatest Common Factor of 559,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 559,221 By Matching Biggest Common Factor Method

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 559,221 . The biggest common factor number is the GCF number.
So the greatest common factor 559,221 is 13.


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 933/559, 678/221

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 933/559, 678/221?

Answer: LCM of Numerators as per given numbers 933/559, 678/221 is

LCM of Numerators i.e. for 933,678 is 210858

GCF of denominators i.e. for 559,221 is 13.

Thus, LCM of Fractions is 210858/13.Finally, LCM of Fractions for 933/559, 678/221 is 210858/13.