Least Common Multiple of 85/65, 797/21, 459/868

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/65, 797/21, 459/868 quickly i.e. 1829115 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/65, 797/21, 459/868 is 1829115.

LCM(85/65, 797/21, 459/868) = 1829115

LCM of 85/65, 797/21, 459/868

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 85/65,797/21,459/868

Given numbers are 85/65,797/21,459/868

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 85,797,459

Least Common Multiple of Numerators i.e. LCM of 85,797,459 is 1829115.

GCF of Denominators means GCF of 65,21,868 as per the given fractions.

GCF of 65,21,868 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,797,459

LCM of Fractions 85/65,797/21,459/868 is 1829115

17 85, 797, 459
5, 797, 27

∴ So the LCM of the given numbers is 17 x 5 x 797 x 27 = 1829115

Least Common Multiple of 85,797,459 with GCF Formula

Least Common Multiple of 85,797,459 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 85,797,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,797,459) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(85,797,459) x common factors =1 x 17 = 17

LCM(85,797,459) = ( 85 × 797 × 459 ) / 17

LCM(85,797,459) = 31094955 / 17

LCM(85,797,459) = 1829115


Lets's calculate GCF of 65,21,868

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1829115/1

Therefore the LCM of Fractions 85/65,797/21,459/868 is 1829115

Greatest Common Factor of 65,21,868 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,21,868 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Greatest Common Factor

We found the factors 65,21,868 . The biggest common factor number is the GCF number.
So the greatest common factor 65,21,868 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 85/65, 797/21, 459/868

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 85/65, 797/21, 459/868?

Answer: LCM of Numerators as per given numbers 85/65, 797/21, 459/868 is

LCM of Numerators i.e. for 85,797,459 is 1829115

GCF of denominators i.e. for 65,21,868 is 1.

Thus, LCM of Fractions is 1829115.Finally, LCM of Fractions for 85/65, 797/21, 459/868 is 1829115.