Least Common Multiple of 85/359, 109/40, 309/845

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/359, 109/40, 309/845 quickly i.e. 2862885 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/359, 109/40, 309/845 is 2862885.

LCM(85/359, 109/40, 309/845) = 2862885

LCM of 85/359, 109/40, 309/845

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 85/359,109/40,309/845

Given numbers are 85/359,109/40,309/845

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 85,109,309

Least Common Multiple of Numerators i.e. LCM of 85,109,309 is 2862885.

GCF of Denominators means GCF of 359,40,845 as per the given fractions.

GCF of 359,40,845 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,109,309

LCM of Fractions 85/359,109/40,309/845 is 2862885

Given numbers has no common factors except 1. So, there LCM is their product i.e 2862885

Least Common Multiple of 85,109,309 with GCF Formula

Least Common Multiple of 85,109,309 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 85,109,309 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,109,309) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(85,109,309) x common factors =1 x 1 = 1

LCM(85,109,309) = ( 85 × 109 × 309 ) / 1

LCM(85,109,309) = 2862885 / 1

LCM(85,109,309) = 2862885


Lets's calculate GCF of 359,40,845

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2862885/1

Therefore the LCM of Fractions 85/359,109/40,309/845 is 2862885

Greatest Common Factor of 359,40,845 By Matching Biggest Common Factor Method

Greatest Common Factor of 359,40,845 By Matching Biggest Common Factor Method

Factors of 359

List of positive integer factors of 359 that divides 359 without a remainder.

1,359

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Greatest Common Factor

We found the factors 359,40,845 . The biggest common factor number is the GCF number.
So the greatest common factor 359,40,845 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 85/359, 109/40, 309/845

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 85/359, 109/40, 309/845?

Answer: LCM of Numerators as per given numbers 85/359, 109/40, 309/845 is

LCM of Numerators i.e. for 85,109,309 is 2862885

GCF of denominators i.e. for 359,40,845 is 1.

Thus, LCM of Fractions is 2862885.Finally, LCM of Fractions for 85/359, 109/40, 309/845 is 2862885.