Least Common Multiple of 564/66, 126/38, 174/21

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/66, 126/38, 174/21 quickly i.e. 343476 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/66, 126/38, 174/21 is 343476.

LCM(564/66, 126/38, 174/21) = 343476

LCM of 564/66, 126/38, 174/21

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 564/66,126/38,174/21

Given numbers are 564/66,126/38,174/21

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 564,126,174

Least Common Multiple of Numerators i.e. LCM of 564,126,174 is 343476.

GCF of Denominators means GCF of 66,38,21 as per the given fractions.

GCF of 66,38,21 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,126,174

LCM of Fractions 564/66,126/38,174/21 is 343476

2 564, 126, 174
3 282, 63, 87
94, 21, 29

∴ So the LCM of the given numbers is 2 x 3 x 94 x 21 x 29 = 343476

Least Common Multiple of 564,126,174 with GCF Formula

Least Common Multiple of 564,126,174 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 564,126,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,126,174) = 6

common factors(in case of two or more numbers have common factors) = 6

GCF(564,126,174) x common factors =6 x 6 = 36

LCM(564,126,174) = ( 564 × 126 × 174 ) / 36

LCM(564,126,174) = 12365136 / 36

LCM(564,126,174) = 343476


Lets's calculate GCF of 66,38,21

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 343476/1

Therefore the LCM of Fractions 564/66,126/38,174/21 is 343476

Greatest Common Factor of 66,38,21 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,38,21 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Greatest Common Factor

We found the factors 66,38,21 . The biggest common factor number is the GCF number.
So the greatest common factor 66,38,21 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 564/66, 126/38, 174/21

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 564/66, 126/38, 174/21?

Answer: LCM of Numerators as per given numbers 564/66, 126/38, 174/21 is

LCM of Numerators i.e. for 564,126,174 is 343476

GCF of denominators i.e. for 66,38,21 is 1.

Thus, LCM of Fractions is 343476.Finally, LCM of Fractions for 564/66, 126/38, 174/21 is 343476.