Least Common Multiple of 85/17, 35/32, 59/81, 35/833

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/17, 35/32, 59/81, 35/833 quickly i.e. 35105 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/17, 35/32, 59/81, 35/833 is 35105.

LCM(85/17, 35/32, 59/81, 35/833) = 35105

LCM of 85/17, 35/32, 59/81, 35/833

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 85/17,35/32,59/81,35/833

Given numbers are 85/17,35/32,59/81,35/833

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 85,35,59,35

Least Common Multiple of Numerators i.e. LCM of 85,35,59,35 is 35105.

GCF of Denominators means GCF of 17,32,81,833 as per the given fractions.

GCF of 17,32,81,833 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,35,59,35

LCM of Fractions 85/17,35/32,59/81,35/833 is 35105

5 85, 35, 59, 35
7 17, 7, 59, 7
17, 1, 59, 1

∴ So the LCM of the given numbers is 5 x 7 x 17 x 1 x 59 x 1 = 35105

Least Common Multiple of 85,35,59,35 with GCF Formula

Least Common Multiple of 85,35,59,35 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 85,35,59,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,35,59,35) = 1

common factors(in case of two or more numbers have common factors) = 175

GCF(85,35,59,35) x common factors =1 x 175 = 175

LCM(85,35,59,35) = ( 85 × 35 × 59 × 35 ) / 175

LCM(85,35,59,35) = 6143375 / 175

LCM(85,35,59,35) = 35105


Lets's calculate GCF of 17,32,81,833

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35105/1

Therefore the LCM of Fractions 85/17,35/32,59/81,35/833 is 35105

Greatest Common Factor of 17,32,81,833 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,32,81,833 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 32

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

1,2,4,8,16,32

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 833

List of positive integer factors of 833 that divides 833 without a remainder.

1,7,17,49,119,833

Greatest Common Factor

We found the factors 17,32,81,833 . The biggest common factor number is the GCF number.
So the greatest common factor 17,32,81,833 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 85/17, 35/32, 59/81, 35/833

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 85/17, 35/32, 59/81, 35/833?

Answer: LCM of Numerators as per given numbers 85/17, 35/32, 59/81, 35/833 is

LCM of Numerators i.e. for 85,35,59,35 is 35105

GCF of denominators i.e. for 17,32,81,833 is 1.

Thus, LCM of Fractions is 35105.Finally, LCM of Fractions for 85/17, 35/32, 59/81, 35/833 is 35105.