Least Common Multiple of 995/100, 285/936, 904/829

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 995/100, 285/936, 904/829 quickly i.e. 51270360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 995/100, 285/936, 904/829 is 51270360.

LCM(995/100, 285/936, 904/829) = 51270360

LCM of 995/100, 285/936, 904/829

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 995/100,285/936,904/829

Given numbers are 995/100,285/936,904/829

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 995,285,904

Least Common Multiple of Numerators i.e. LCM of 995,285,904 is 51270360.

GCF of Denominators means GCF of 100,936,829 as per the given fractions.

GCF of 100,936,829 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 995,285,904

LCM of Fractions 995/100,285/936,904/829 is 51270360

5 995, 285, 904
199, 57, 904

∴ So the LCM of the given numbers is 5 x 199 x 57 x 904 = 51270360

Least Common Multiple of 995,285,904 with GCF Formula

Least Common Multiple of 995,285,904 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 995,285,904 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(995,285,904) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(995,285,904) x common factors =1 x 5 = 5

LCM(995,285,904) = ( 995 × 285 × 904 ) / 5

LCM(995,285,904) = 256351800 / 5

LCM(995,285,904) = 51270360


Lets's calculate GCF of 100,936,829

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51270360/1

Therefore the LCM of Fractions 995/100,285/936,904/829 is 51270360

Greatest Common Factor of 100,936,829 By Matching Biggest Common Factor Method

Greatest Common Factor of 100,936,829 By Matching Biggest Common Factor Method

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Factors of 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Greatest Common Factor

We found the factors 100,936,829 . The biggest common factor number is the GCF number.
So the greatest common factor 100,936,829 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 995/100, 285/936, 904/829

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 995/100, 285/936, 904/829?

Answer: LCM of Numerators as per given numbers 995/100, 285/936, 904/829 is

LCM of Numerators i.e. for 995,285,904 is 51270360

GCF of denominators i.e. for 100,936,829 is 1.

Thus, LCM of Fractions is 51270360.Finally, LCM of Fractions for 995/100, 285/936, 904/829 is 51270360.