Least Common Multiple of 564/29, 608/6163

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 564/29, 608/6163 quickly i.e. 85728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/29, 608/6163 is 85728.

LCM(564/29, 608/6163) = 85728

LCM of 564/29, 608/6163

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 564/29,608/6163

Given numbers are 564/29,608/6163

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 564,608

Least Common Multiple of Numerators i.e. LCM of 564,608 is 85728.

GCF of Denominators means GCF of 29,6163 as per the given fractions.

GCF of 29,6163 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,608

LCM of Fractions 564/29,608/6163 is 85728

2 564, 608
2 282, 304
141, 152

∴ So the LCM of the given numbers is 2 x 2 x 141 x 152 = 85728

Least Common Multiple of 564,608 with GCF Formula

Least Common Multiple of 564,608 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 564,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,608) = 4

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

GCF(564,608) x common factors =4 x 1 = 4

LCM(564,608) = ( 564 × 608 ) / 4

LCM(564,608) = 342912 / 4

LCM(564,608) = 85728


Lets's calculate GCF of 29,6163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85728/1

Therefore the LCM of Fractions 564/29,608/6163 is 85728

Greatest Common Factor of 29,6163 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,6163 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 6163

List of positive integer factors of 6163 that divides 6163 without a remainder.

1,6163

Greatest Common Factor

We found the factors 29,6163 . The biggest common factor number is the GCF number.
So the greatest common factor 29,6163 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 564/29, 608/6163

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 564/29, 608/6163?

Answer: LCM of Numerators as per given numbers 564/29, 608/6163 is

LCM of Numerators i.e. for 564,608 is 85728

GCF of denominators i.e. for 29,6163 is 1.

Thus, LCM of Fractions is 85728.Finally, LCM of Fractions for 564/29, 608/6163 is 85728.