Least Common Multiple of 564/17, 9888/802

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 564/17, 9888/802 quickly i.e. 464736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 564/17, 9888/802 is 464736.

LCM(564/17, 9888/802) = 464736

LCM of 564/17, 9888/802

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 564/17,9888/802

Given numbers are 564/17,9888/802

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 564,9888

Least Common Multiple of Numerators i.e. LCM of 564,9888 is 464736.

GCF of Denominators means GCF of 17,802 as per the given fractions.

GCF of 17,802 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 564,9888

LCM of Fractions 564/17,9888/802 is 464736

2 564, 9888
2 282, 4944
3 141, 2472
47, 824

∴ So the LCM of the given numbers is 2 x 2 x 3 x 47 x 824 = 464736

Least Common Multiple of 564,9888 with GCF Formula

Least Common Multiple of 564,9888 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 564,9888 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,9888) = 12

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

GCF(564,9888) x common factors =12 x 1 = 12

LCM(564,9888) = ( 564 × 9888 ) / 12

LCM(564,9888) = 5576832 / 12

LCM(564,9888) = 464736


Lets's calculate GCF of 17,802

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 464736/1

Therefore the LCM of Fractions 564/17,9888/802 is 464736

Greatest Common Factor of 17,802 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,802 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Greatest Common Factor

We found the factors 17,802 . The biggest common factor number is the GCF number.
So the greatest common factor 17,802 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 564/17, 9888/802

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 564/17, 9888/802?

Answer: LCM of Numerators as per given numbers 564/17, 9888/802 is

LCM of Numerators i.e. for 564,9888 is 464736

GCF of denominators i.e. for 17,802 is 1.

Thus, LCM of Fractions is 464736.Finally, LCM of Fractions for 564/17, 9888/802 is 464736.