Least Common Multiple of 14/85, 16/69, 564/86

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/85, 16/69, 564/86 quickly i.e. 15792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/85, 16/69, 564/86 is 15792.

LCM(14/85, 16/69, 564/86) = 15792

LCM of 14/85, 16/69, 564/86

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 14/85,16/69,564/86

Given numbers are 14/85,16/69,564/86

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 14,16,564

Least Common Multiple of Numerators i.e. LCM of 14,16,564 is 15792.

GCF of Denominators means GCF of 85,69,86 as per the given fractions.

GCF of 85,69,86 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,16,564

LCM of Fractions 14/85,16/69,564/86 is 15792

2 14, 16, 564
2 7, 8, 282
7, 4, 141

∴ So the LCM of the given numbers is 2 x 2 x 7 x 4 x 141 = 15792

Least Common Multiple of 14,16,564 with GCF Formula

Least Common Multiple of 14,16,564 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 14,16,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,16,564) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(14,16,564) x common factors =2 x 4 = 8

LCM(14,16,564) = ( 14 × 16 × 564 ) / 8

LCM(14,16,564) = 126336 / 8

LCM(14,16,564) = 15792


Lets's calculate GCF of 85,69,86

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15792/1

Therefore the LCM of Fractions 14/85,16/69,564/86 is 15792

Greatest Common Factor of 85,69,86 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,69,86 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Greatest Common Factor

We found the factors 85,69,86 . The biggest common factor number is the GCF number.
So the greatest common factor 85,69,86 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 14/85, 16/69, 564/86

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 14/85, 16/69, 564/86?

Answer: LCM of Numerators as per given numbers 14/85, 16/69, 564/86 is

LCM of Numerators i.e. for 14,16,564 is 15792

GCF of denominators i.e. for 85,69,86 is 1.

Thus, LCM of Fractions is 15792.Finally, LCM of Fractions for 14/85, 16/69, 564/86 is 15792.