Least Common Multiple of 73/64, 93/12, 21/52, 86/366

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/64, 93/12, 21/52, 86/366 quickly i.e. 2043489 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/64, 93/12, 21/52, 86/366 is 2043489.

LCM(73/64, 93/12, 21/52, 86/366) = 2043489

LCM of 73/64, 93/12, 21/52, 86/366

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 73/64,93/12,21/52,86/366

Given numbers are 73/64,93/12,21/52,86/366

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 73,93,21,86

Least Common Multiple of Numerators i.e. LCM of 73,93,21,86 is 4086978.

GCF of Denominators means GCF of 64,12,52,366 as per the given fractions.

GCF of 64,12,52,366 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,93,21,86

LCM of Fractions 73/64,93/12,21/52,86/366 is 2043489

3 73, 93, 21, 86
73, 31, 7, 86

∴ So the LCM of the given numbers is 3 x 73 x 31 x 7 x 86 = 4086978

Least Common Multiple of 73,93,21,86 with GCF Formula

Least Common Multiple of 73,93,21,86 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 73,93,21,86 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,93,21,86) = 1

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

GCF(73,93,21,86) x common factors =1 x 3 = 3

LCM(73,93,21,86) = ( 73 × 93 × 21 × 86 ) / 3

LCM(73,93,21,86) = 12260934 / 3

LCM(73,93,21,86) = 4086978


Lets's calculate GCF of 64,12,52,366

2 64, 12, 52, 366
32, 6, 26, 183

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4086978/2

Therefore the LCM of Fractions 73/64,93/12,21/52,86/366 is 2043489

Greatest Common Factor of 64,12,52,366 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,12,52,366 By Matching Biggest Common Factor Method

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 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Greatest Common Factor

We found the factors 64,12,52,366 . The biggest common factor number is the GCF number.
So the greatest common factor 64,12,52,366 is 2.


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 73/64, 93/12, 21/52, 86/366

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 73/64, 93/12, 21/52, 86/366?

Answer: LCM of Numerators as per given numbers 73/64, 93/12, 21/52, 86/366 is

LCM of Numerators i.e. for 73,93,21,86 is 4086978

GCF of denominators i.e. for 64,12,52,366 is 2.

Thus, LCM of Fractions is 2043489.Finally, LCM of Fractions for 73/64, 93/12, 21/52, 86/366 is 2043489.