Least Common Multiple of 836/345, 372/460, 696/999

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 836/345, 372/460, 696/999 quickly i.e. 4509384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 836/345, 372/460, 696/999 is 4509384.

LCM(836/345, 372/460, 696/999) = 4509384

LCM of 836/345, 372/460, 696/999

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 836/345,372/460,696/999

Given numbers are 836/345,372/460,696/999

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 836,372,696

Least Common Multiple of Numerators i.e. LCM of 836,372,696 is 4509384.

GCF of Denominators means GCF of 345,460,999 as per the given fractions.

GCF of 345,460,999 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 836,372,696

LCM of Fractions 836/345,372/460,696/999 is 4509384

2 836, 372, 696
2 418, 186, 348
3 209, 93, 174
209, 31, 58

∴ So the LCM of the given numbers is 2 x 2 x 3 x 209 x 31 x 58 = 4509384

Least Common Multiple of 836,372,696 with GCF Formula

Least Common Multiple of 836,372,696 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 836,372,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(836,372,696) = 4

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

GCF(836,372,696) x common factors =4 x 12 = 48

LCM(836,372,696) = ( 836 × 372 × 696 ) / 48

LCM(836,372,696) = 216450432 / 48

LCM(836,372,696) = 4509384


Lets's calculate GCF of 345,460,999

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4509384/1

Therefore the LCM of Fractions 836/345,372/460,696/999 is 4509384

Greatest Common Factor of 345,460,999 By Matching Biggest Common Factor Method

Greatest Common Factor of 345,460,999 By Matching Biggest Common Factor Method

Factors of 345

List of positive integer factors of 345 that divides 345 without a remainder.

1,3,5,15,23,69,115,345

Factors of 460

List of positive integer factors of 460 that divides 460 without a remainder.

1,2,4,5,10,20,23,46,92,115,230,460

Factors of 999

List of positive integer factors of 999 that divides 999 without a remainder.

1,3,9,27,37,111,333,999

Greatest Common Factor

We found the factors 345,460,999 . The biggest common factor number is the GCF number.
So the greatest common factor 345,460,999 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 836/345, 372/460, 696/999

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 836/345, 372/460, 696/999?

Answer: LCM of Numerators as per given numbers 836/345, 372/460, 696/999 is

LCM of Numerators i.e. for 836,372,696 is 4509384

GCF of denominators i.e. for 345,460,999 is 1.

Thus, LCM of Fractions is 4509384.Finally, LCM of Fractions for 836/345, 372/460, 696/999 is 4509384.