Least Common Multiple of 51/48, 17/60, 584/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/48, 17/60, 584/14 quickly i.e. 14892 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/48, 17/60, 584/14 is 14892.

LCM(51/48, 17/60, 584/14) = 14892

LCM of 51/48, 17/60, 584/14

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 51/48,17/60,584/14

Given numbers are 51/48,17/60,584/14

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 51,17,584

Least Common Multiple of Numerators i.e. LCM of 51,17,584 is 29784.

GCF of Denominators means GCF of 48,60,14 as per the given fractions.

GCF of 48,60,14 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,17,584

LCM of Fractions 51/48,17/60,584/14 is 14892

17 51, 17, 584
3, 1, 584

∴ So the LCM of the given numbers is 17 x 3 x 1 x 584 = 29784

Least Common Multiple of 51,17,584 with GCF Formula

Least Common Multiple of 51,17,584 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 51,17,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,17,584) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(51,17,584) x common factors =1 x 17 = 17

LCM(51,17,584) = ( 51 × 17 × 584 ) / 17

LCM(51,17,584) = 506328 / 17

LCM(51,17,584) = 29784


Lets's calculate GCF of 48,60,14

2 48, 60, 14
24, 30, 7

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29784/2

Therefore the LCM of Fractions 51/48,17/60,584/14 is 14892

Greatest Common Factor of 48,60,14 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,60,14 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 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Greatest Common Factor

We found the factors 48,60,14 . The biggest common factor number is the GCF number.
So the greatest common factor 48,60,14 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 51/48, 17/60, 584/14

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 51/48, 17/60, 584/14?

Answer: LCM of Numerators as per given numbers 51/48, 17/60, 584/14 is

LCM of Numerators i.e. for 51,17,584 is 29784

GCF of denominators i.e. for 48,60,14 is 2.

Thus, LCM of Fractions is 14892.Finally, LCM of Fractions for 51/48, 17/60, 584/14 is 14892.