Least Common Multiple of 99/832, 33/388, 917/300

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/832, 33/388, 917/300 quickly i.e. 90783/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/832, 33/388, 917/300 is 90783/4.

LCM(99/832, 33/388, 917/300) = 90783/4

LCM of 99/832, 33/388, 917/300

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 99/832,33/388,917/300

Given numbers are 99/832,33/388,917/300

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 99,33,917

Least Common Multiple of Numerators i.e. LCM of 99,33,917 is 90783.

GCF of Denominators means GCF of 832,388,300 as per the given fractions.

GCF of 832,388,300 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,33,917

LCM of Fractions 99/832,33/388,917/300 is 90783/4

3 99, 33, 917
11 33, 11, 917
3, 1, 917

∴ So the LCM of the given numbers is 3 x 11 x 3 x 1 x 917 = 90783

Least Common Multiple of 99,33,917 with GCF Formula

Least Common Multiple of 99,33,917 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 99,33,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,33,917) = 1

common factors(in case of two or more numbers have common factors) = 33

GCF(99,33,917) x common factors =1 x 33 = 33

LCM(99,33,917) = ( 99 × 33 × 917 ) / 33

LCM(99,33,917) = 2995839 / 33

LCM(99,33,917) = 90783


Lets's calculate GCF of 832,388,300

2 832, 388, 300
2 416, 194, 150
208, 97, 75

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90783/4

Therefore the LCM of Fractions 99/832,33/388,917/300 is 90783/4

Greatest Common Factor of 832,388,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,388,300 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1,2,4,97,194,388

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 832,388,300 . The biggest common factor number is the GCF number.
So the greatest common factor 832,388,300 is 4.


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 99/832, 33/388, 917/300

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 99/832, 33/388, 917/300?

Answer: LCM of Numerators as per given numbers 99/832, 33/388, 917/300 is

LCM of Numerators i.e. for 99,33,917 is 90783

GCF of denominators i.e. for 832,388,300 is 4.

Thus, LCM of Fractions is 90783/4.Finally, LCM of Fractions for 99/832, 33/388, 917/300 is 90783/4.