Least Common Multiple of 3/86, 3/64, 78/87, 51/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3/86, 3/64, 78/87, 51/344 quickly i.e. 1326 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3/86, 3/64, 78/87, 51/344 is 1326.

LCM(3/86, 3/64, 78/87, 51/344) = 1326

LCM of 3/86, 3/64, 78/87, 51/344

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 3/86,3/64,78/87,51/344

Given numbers are 3/86,3/64,78/87,51/344

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 3,3,78,51

Least Common Multiple of Numerators i.e. LCM of 3,3,78,51 is 1326.

GCF of Denominators means GCF of 86,64,87,344 as per the given fractions.

GCF of 86,64,87,344 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3,3,78,51

LCM of Fractions 3/86,3/64,78/87,51/344 is 1326

3 3, 3, 78, 51
1, 1, 26, 17

∴ So the LCM of the given numbers is 3 x 1 x 1 x 26 x 17 = 1326

Least Common Multiple of 3,3,78,51 with GCF Formula

Least Common Multiple of 3,3,78,51 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 3,3,78,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3,3,78,51) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(3,3,78,51) x common factors =3 x 9 = 27

LCM(3,3,78,51) = ( 3 × 3 × 78 × 51 ) / 27

LCM(3,3,78,51) = 35802 / 27

LCM(3,3,78,51) = 1326


Lets's calculate GCF of 86,64,87,344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1326/1

Therefore the LCM of Fractions 3/86,3/64,78/87,51/344 is 1326

Greatest Common Factor of 86,64,87,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,64,87,344 By Matching Biggest Common Factor Method

Factors of 86

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

1,2,43,86

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 86,64,87,344 . The biggest common factor number is the GCF number.
So the greatest common factor 86,64,87,344 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 3/86, 3/64, 78/87, 51/344

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 3/86, 3/64, 78/87, 51/344?

Answer: LCM of Numerators as per given numbers 3/86, 3/64, 78/87, 51/344 is

LCM of Numerators i.e. for 3,3,78,51 is 1326

GCF of denominators i.e. for 86,64,87,344 is 1.

Thus, LCM of Fractions is 1326.Finally, LCM of Fractions for 3/86, 3/64, 78/87, 51/344 is 1326.