Least Common Multiple of 564/68, 573/4176

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/68, 573/4176 quickly i.e. 26931 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/68, 573/4176 is 26931.

LCM(564/68, 573/4176) = 26931

LCM of 564/68, 573/4176

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 564/68,573/4176

Given numbers are 564/68,573/4176

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 564,573

Least Common Multiple of Numerators i.e. LCM of 564,573 is 107724.

GCF of Denominators means GCF of 68,4176 as per the given fractions.

GCF of 68,4176 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,573

LCM of Fractions 564/68,573/4176 is 26931

3 564, 573
188, 191

∴ So the LCM of the given numbers is 3 x 188 x 191 = 107724

Least Common Multiple of 564,573 with GCF Formula

Least Common Multiple of 564,573 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 564,573 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,573) = 3

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

GCF(564,573) x common factors =3 x 1 = 3

LCM(564,573) = ( 564 × 573 ) / 3

LCM(564,573) = 323172 / 3

LCM(564,573) = 107724


Lets's calculate GCF of 68,4176

2 68, 4176
2 34, 2088
17, 1044

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 107724/4

Therefore the LCM of Fractions 564/68,573/4176 is 26931

Greatest Common Factor of 68,4176 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,4176 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 4176

List of positive integer factors of 4176 that divides 4176 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,29,36,48,58,72,87,116,144,174,232,261,348,464,522,696,1044,1392,2088,4176

Greatest Common Factor

We found the factors 68,4176 . The biggest common factor number is the GCF number.
So the greatest common factor 68,4176 is 4.


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 564/68, 573/4176

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 564/68, 573/4176?

Answer: LCM of Numerators as per given numbers 564/68, 573/4176 is

LCM of Numerators i.e. for 564,573 is 107724

GCF of denominators i.e. for 68,4176 is 4.

Thus, LCM of Fractions is 26931.Finally, LCM of Fractions for 564/68, 573/4176 is 26931.