Least Common Multiple of 567/73, 197/42, 189/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 567/73, 197/42, 189/994 quickly i.e. 111699 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 567/73, 197/42, 189/994 is 111699.

LCM(567/73, 197/42, 189/994) = 111699

LCM of 567/73, 197/42, 189/994

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 567/73,197/42,189/994

Given numbers are 567/73,197/42,189/994

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 567,197,189

Least Common Multiple of Numerators i.e. LCM of 567,197,189 is 111699.

GCF of Denominators means GCF of 73,42,994 as per the given fractions.

GCF of 73,42,994 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 567,197,189

LCM of Fractions 567/73,197/42,189/994 is 111699

3 567, 197, 189
3 189, 197, 63
3 21, 197, 63
7 7, 197, 21
1, 197, 3

∴ So the LCM of the given numbers is 3 x 3 x 3 x 7 x 1 x 197 x 3 = 111699

Least Common Multiple of 567,197,189 with GCF Formula

Least Common Multiple of 567,197,189 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 567,197,189 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,197,189) = 1

common factors(in case of two or more numbers have common factors) = 189

GCF(567,197,189) x common factors =1 x 189 = 189

LCM(567,197,189) = ( 567 × 197 × 189 ) / 189

LCM(567,197,189) = 21111111 / 189

LCM(567,197,189) = 111699


Lets's calculate GCF of 73,42,994

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 111699/1

Therefore the LCM of Fractions 567/73,197/42,189/994 is 111699

Greatest Common Factor of 73,42,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,42,994 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 73,42,994 . The biggest common factor number is the GCF number.
So the greatest common factor 73,42,994 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 567/73, 197/42, 189/994

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 567/73, 197/42, 189/994?

Answer: LCM of Numerators as per given numbers 567/73, 197/42, 189/994 is

LCM of Numerators i.e. for 567,197,189 is 111699

GCF of denominators i.e. for 73,42,994 is 1.

Thus, LCM of Fractions is 111699.Finally, LCM of Fractions for 567/73, 197/42, 189/994 is 111699.