Least Common Multiple of 85/674, 12/795, 213/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/674, 12/795, 213/854 quickly i.e. 72420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/674, 12/795, 213/854 is 72420.

LCM(85/674, 12/795, 213/854) = 72420

LCM of 85/674, 12/795, 213/854

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 85/674,12/795,213/854

Given numbers are 85/674,12/795,213/854

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 85,12,213

Least Common Multiple of Numerators i.e. LCM of 85,12,213 is 72420.

GCF of Denominators means GCF of 674,795,854 as per the given fractions.

GCF of 674,795,854 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,12,213

LCM of Fractions 85/674,12/795,213/854 is 72420

3 85, 12, 213
85, 4, 71

∴ So the LCM of the given numbers is 3 x 85 x 4 x 71 = 72420

Least Common Multiple of 85,12,213 with GCF Formula

Least Common Multiple of 85,12,213 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 85,12,213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,12,213) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(85,12,213) x common factors =1 x 3 = 3

LCM(85,12,213) = ( 85 × 12 × 213 ) / 3

LCM(85,12,213) = 217260 / 3

LCM(85,12,213) = 72420


Lets's calculate GCF of 674,795,854

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72420/1

Therefore the LCM of Fractions 85/674,12/795,213/854 is 72420

Greatest Common Factor of 674,795,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 674,795,854 By Matching Biggest Common Factor Method

Factors of 674

List of positive integer factors of 674 that divides 674 without a remainder.

1,2,337,674

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 674,795,854 . The biggest common factor number is the GCF number.
So the greatest common factor 674,795,854 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 85/674, 12/795, 213/854

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 85/674, 12/795, 213/854?

Answer: LCM of Numerators as per given numbers 85/674, 12/795, 213/854 is

LCM of Numerators i.e. for 85,12,213 is 72420

GCF of denominators i.e. for 674,795,854 is 1.

Thus, LCM of Fractions is 72420.Finally, LCM of Fractions for 85/674, 12/795, 213/854 is 72420.