Least Common Multiple of 835/32, 404/68, 516/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 835/32, 404/68, 516/594 quickly i.e. 21758430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 835/32, 404/68, 516/594 is 21758430.

LCM(835/32, 404/68, 516/594) = 21758430

LCM of 835/32, 404/68, 516/594

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 835/32,404/68,516/594

Given numbers are 835/32,404/68,516/594

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 835,404,516

Least Common Multiple of Numerators i.e. LCM of 835,404,516 is 43516860.

GCF of Denominators means GCF of 32,68,594 as per the given fractions.

GCF of 32,68,594 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 835,404,516

LCM of Fractions 835/32,404/68,516/594 is 21758430

2 835, 404, 516
2 835, 202, 258
835, 101, 129

∴ So the LCM of the given numbers is 2 x 2 x 835 x 101 x 129 = 43516860

Least Common Multiple of 835,404,516 with GCF Formula

Least Common Multiple of 835,404,516 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 835,404,516 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(835,404,516) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(835,404,516) x common factors =1 x 4 = 4

LCM(835,404,516) = ( 835 × 404 × 516 ) / 4

LCM(835,404,516) = 174067440 / 4

LCM(835,404,516) = 43516860


Lets's calculate GCF of 32,68,594

2 32, 68, 594
16, 34, 297

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43516860/2

Therefore the LCM of Fractions 835/32,404/68,516/594 is 21758430

Greatest Common Factor of 32,68,594 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,68,594 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 594

List of positive integer factors of 594 that divides 594 without a remainder.

1,2,3,6,9,11,18,22,27,33,54,66,99,198,297,594

Greatest Common Factor

We found the factors 32,68,594 . The biggest common factor number is the GCF number.
So the greatest common factor 32,68,594 is 2.


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 835/32, 404/68, 516/594

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 835/32, 404/68, 516/594?

Answer: LCM of Numerators as per given numbers 835/32, 404/68, 516/594 is

LCM of Numerators i.e. for 835,404,516 is 43516860

GCF of denominators i.e. for 32,68,594 is 2.

Thus, LCM of Fractions is 21758430.Finally, LCM of Fractions for 835/32, 404/68, 516/594 is 21758430.