Least Common Multiple of 99/471, 92/363, 564/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/471, 92/363, 564/493 quickly i.e. 428076 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/471, 92/363, 564/493 is 428076.

LCM(99/471, 92/363, 564/493) = 428076

LCM of 99/471, 92/363, 564/493

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 99/471,92/363,564/493

Given numbers are 99/471,92/363,564/493

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 99,92,564

Least Common Multiple of Numerators i.e. LCM of 99,92,564 is 428076.

GCF of Denominators means GCF of 471,363,493 as per the given fractions.

GCF of 471,363,493 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,92,564

LCM of Fractions 99/471,92/363,564/493 is 428076

2 99, 92, 564
2 99, 46, 282
3 99, 23, 141
33, 23, 47

∴ So the LCM of the given numbers is 2 x 2 x 3 x 33 x 23 x 47 = 428076

Least Common Multiple of 99,92,564 with GCF Formula

Least Common Multiple of 99,92,564 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 99,92,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,92,564) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(99,92,564) x common factors =1 x 12 = 12

LCM(99,92,564) = ( 99 × 92 × 564 ) / 12

LCM(99,92,564) = 5136912 / 12

LCM(99,92,564) = 428076


Lets's calculate GCF of 471,363,493

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 428076/1

Therefore the LCM of Fractions 99/471,92/363,564/493 is 428076

Greatest Common Factor of 471,363,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 471,363,493 By Matching Biggest Common Factor Method

Factors of 471

List of positive integer factors of 471 that divides 471 without a remainder.

1,3,157,471

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors 471,363,493 . The biggest common factor number is the GCF number.
So the greatest common factor 471,363,493 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 99/471, 92/363, 564/493

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 99/471, 92/363, 564/493?

Answer: LCM of Numerators as per given numbers 99/471, 92/363, 564/493 is

LCM of Numerators i.e. for 99,92,564 is 428076

GCF of denominators i.e. for 471,363,493 is 1.

Thus, LCM of Fractions is 428076.Finally, LCM of Fractions for 99/471, 92/363, 564/493 is 428076.