Least Common Multiple of 85/27, 43/58, 69/68, 15/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/27, 43/58, 69/68, 15/715 quickly i.e. 252195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/27, 43/58, 69/68, 15/715 is 252195.

LCM(85/27, 43/58, 69/68, 15/715) = 252195

LCM of 85/27, 43/58, 69/68, 15/715

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 85/27,43/58,69/68,15/715

Given numbers are 85/27,43/58,69/68,15/715

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 85,43,69,15

Least Common Multiple of Numerators i.e. LCM of 85,43,69,15 is 252195.

GCF of Denominators means GCF of 27,58,68,715 as per the given fractions.

GCF of 27,58,68,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,43,69,15

LCM of Fractions 85/27,43/58,69/68,15/715 is 252195

3 85, 43, 69, 15
5 85, 43, 23, 5
17, 43, 23, 1

∴ So the LCM of the given numbers is 3 x 5 x 17 x 43 x 23 x 1 = 252195

Least Common Multiple of 85,43,69,15 with GCF Formula

Least Common Multiple of 85,43,69,15 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 85,43,69,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,43,69,15) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(85,43,69,15) x common factors =1 x 15 = 15

LCM(85,43,69,15) = ( 85 × 43 × 69 × 15 ) / 15

LCM(85,43,69,15) = 3782925 / 15

LCM(85,43,69,15) = 252195


Lets's calculate GCF of 27,58,68,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 252195/1

Therefore the LCM of Fractions 85/27,43/58,69/68,15/715 is 252195

Greatest Common Factor of 27,58,68,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,58,68,715 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 68

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

1,2,4,17,34,68

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 27,58,68,715 . The biggest common factor number is the GCF number.
So the greatest common factor 27,58,68,715 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 85/27, 43/58, 69/68, 15/715

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 85/27, 43/58, 69/68, 15/715?

Answer: LCM of Numerators as per given numbers 85/27, 43/58, 69/68, 15/715 is

LCM of Numerators i.e. for 85,43,69,15 is 252195

GCF of denominators i.e. for 27,58,68,715 is 1.

Thus, LCM of Fractions is 252195.Finally, LCM of Fractions for 85/27, 43/58, 69/68, 15/715 is 252195.