Least Common Multiple of 54/63, 86/70, 14/68, 86/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/63, 86/70, 14/68, 86/809 quickly i.e. 16254 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/63, 86/70, 14/68, 86/809 is 16254.

LCM(54/63, 86/70, 14/68, 86/809) = 16254

LCM of 54/63, 86/70, 14/68, 86/809

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 54/63,86/70,14/68,86/809

Given numbers are 54/63,86/70,14/68,86/809

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 54,86,14,86

Least Common Multiple of Numerators i.e. LCM of 54,86,14,86 is 16254.

GCF of Denominators means GCF of 63,70,68,809 as per the given fractions.

GCF of 63,70,68,809 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,86,14,86

LCM of Fractions 54/63,86/70,14/68,86/809 is 16254

2 54, 86, 14, 86
43 27, 43, 7, 43
27, 1, 7, 1

∴ So the LCM of the given numbers is 2 x 43 x 27 x 1 x 7 x 1 = 16254

Least Common Multiple of 54,86,14,86 with GCF Formula

Least Common Multiple of 54,86,14,86 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 54,86,14,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,86,14,86) = 2

common factors(in case of two or more numbers have common factors) = 172

GCF(54,86,14,86) x common factors =2 x 172 = 344

LCM(54,86,14,86) = ( 54 × 86 × 14 × 86 ) / 344

LCM(54,86,14,86) = 5591376 / 344

LCM(54,86,14,86) = 16254


Lets's calculate GCF of 63,70,68,809

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16254/1

Therefore the LCM of Fractions 54/63,86/70,14/68,86/809 is 16254

Greatest Common Factor of 63,70,68,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,70,68,809 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 68

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

1,2,4,17,34,68

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Greatest Common Factor

We found the factors 63,70,68,809 . The biggest common factor number is the GCF number.
So the greatest common factor 63,70,68,809 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 54/63, 86/70, 14/68, 86/809

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 54/63, 86/70, 14/68, 86/809?

Answer: LCM of Numerators as per given numbers 54/63, 86/70, 14/68, 86/809 is

LCM of Numerators i.e. for 54,86,14,86 is 16254

GCF of denominators i.e. for 63,70,68,809 is 1.

Thus, LCM of Fractions is 16254.Finally, LCM of Fractions for 54/63, 86/70, 14/68, 86/809 is 16254.