Least Common Multiple of 478/21, 393/89, 564/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 478/21, 393/89, 564/792 quickly i.e. 17658276 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 478/21, 393/89, 564/792 is 17658276.

LCM(478/21, 393/89, 564/792) = 17658276

LCM of 478/21, 393/89, 564/792

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 478/21,393/89,564/792

Given numbers are 478/21,393/89,564/792

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 478,393,564

Least Common Multiple of Numerators i.e. LCM of 478,393,564 is 17658276.

GCF of Denominators means GCF of 21,89,792 as per the given fractions.

GCF of 21,89,792 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 478,393,564

LCM of Fractions 478/21,393/89,564/792 is 17658276

2 478, 393, 564
3 239, 393, 282
239, 131, 94

∴ So the LCM of the given numbers is 2 x 3 x 239 x 131 x 94 = 17658276

Least Common Multiple of 478,393,564 with GCF Formula

Least Common Multiple of 478,393,564 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 478,393,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,393,564) = 1

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

GCF(478,393,564) x common factors =1 x 6 = 6

LCM(478,393,564) = ( 478 × 393 × 564 ) / 6

LCM(478,393,564) = 105949656 / 6

LCM(478,393,564) = 17658276


Lets's calculate GCF of 21,89,792

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17658276/1

Therefore the LCM of Fractions 478/21,393/89,564/792 is 17658276

Greatest Common Factor of 21,89,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,89,792 By Matching Biggest Common Factor Method

Factors of 21

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

1,3,7,21

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 21,89,792 . The biggest common factor number is the GCF number.
So the greatest common factor 21,89,792 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 478/21, 393/89, 564/792

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 478/21, 393/89, 564/792?

Answer: LCM of Numerators as per given numbers 478/21, 393/89, 564/792 is

LCM of Numerators i.e. for 478,393,564 is 17658276

GCF of denominators i.e. for 21,89,792 is 1.

Thus, LCM of Fractions is 17658276.Finally, LCM of Fractions for 478/21, 393/89, 564/792 is 17658276.