Least Common Multiple of 59/48, 18/86, 21/64, 35/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/48, 18/86, 21/64, 35/584 quickly i.e. 18585 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/48, 18/86, 21/64, 35/584 is 18585.

LCM(59/48, 18/86, 21/64, 35/584) = 18585

LCM of 59/48, 18/86, 21/64, 35/584

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 59/48,18/86,21/64,35/584

Given numbers are 59/48,18/86,21/64,35/584

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 59,18,21,35

Least Common Multiple of Numerators i.e. LCM of 59,18,21,35 is 37170.

GCF of Denominators means GCF of 48,86,64,584 as per the given fractions.

GCF of 48,86,64,584 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,18,21,35

LCM of Fractions 59/48,18/86,21/64,35/584 is 18585

3 59, 18, 21, 35
7 59, 6, 7, 35
59, 6, 1, 5

∴ So the LCM of the given numbers is 3 x 7 x 59 x 6 x 1 x 5 = 37170

Least Common Multiple of 59,18,21,35 with GCF Formula

Least Common Multiple of 59,18,21,35 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 59,18,21,35 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,18,21,35) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(59,18,21,35) x common factors =1 x 21 = 21

LCM(59,18,21,35) = ( 59 × 18 × 21 × 35 ) / 21

LCM(59,18,21,35) = 780570 / 21

LCM(59,18,21,35) = 37170


Lets's calculate GCF of 48,86,64,584

2 48, 86, 64, 584
24, 43, 32, 292

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37170/2

Therefore the LCM of Fractions 59/48,18/86,21/64,35/584 is 18585

Greatest Common Factor of 48,86,64,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,86,64,584 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

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 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 48,86,64,584 . The biggest common factor number is the GCF number.
So the greatest common factor 48,86,64,584 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 59/48, 18/86, 21/64, 35/584

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 59/48, 18/86, 21/64, 35/584?

Answer: LCM of Numerators as per given numbers 59/48, 18/86, 21/64, 35/584 is

LCM of Numerators i.e. for 59,18,21,35 is 37170

GCF of denominators i.e. for 48,86,64,584 is 2.

Thus, LCM of Fractions is 18585.Finally, LCM of Fractions for 59/48, 18/86, 21/64, 35/584 is 18585.