Least Common Multiple of 994/99, 648/72, 805/288

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 994/99, 648/72, 805/288 quickly i.e. 4115160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 994/99, 648/72, 805/288 is 4115160.

LCM(994/99, 648/72, 805/288) = 4115160

LCM of 994/99, 648/72, 805/288

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 994/99,648/72,805/288

Given numbers are 994/99,648/72,805/288

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 994,648,805

Least Common Multiple of Numerators i.e. LCM of 994,648,805 is 37036440.

GCF of Denominators means GCF of 99,72,288 as per the given fractions.

GCF of 99,72,288 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 994,648,805

LCM of Fractions 994/99,648/72,805/288 is 4115160

2 994, 648, 805
7 497, 324, 805
71, 324, 115

∴ So the LCM of the given numbers is 2 x 7 x 71 x 324 x 115 = 37036440

Least Common Multiple of 994,648,805 with GCF Formula

Least Common Multiple of 994,648,805 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 994,648,805 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,648,805) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(994,648,805) x common factors =1 x 14 = 14

LCM(994,648,805) = ( 994 × 648 × 805 ) / 14

LCM(994,648,805) = 518510160 / 14

LCM(994,648,805) = 37036440


Lets's calculate GCF of 99,72,288

3 99, 72, 288
3 33, 24, 96
11, 8, 32

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37036440/9

Therefore the LCM of Fractions 994/99,648/72,805/288 is 4115160

Greatest Common Factor of 99,72,288 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,72,288 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 99,72,288 . The biggest common factor number is the GCF number.
So the greatest common factor 99,72,288 is 9.


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 994/99, 648/72, 805/288

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 994/99, 648/72, 805/288?

Answer: LCM of Numerators as per given numbers 994/99, 648/72, 805/288 is

LCM of Numerators i.e. for 994,648,805 is 37036440

GCF of denominators i.e. for 99,72,288 is 9.

Thus, LCM of Fractions is 4115160.Finally, LCM of Fractions for 994/99, 648/72, 805/288 is 4115160.