Least Common Multiple of 16/14, 48/28, 67/51, 24/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/14, 48/28, 67/51, 24/915 quickly i.e. 3216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/14, 48/28, 67/51, 24/915 is 3216.

LCM(16/14, 48/28, 67/51, 24/915) = 3216

LCM of 16/14, 48/28, 67/51, 24/915

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 16/14,48/28,67/51,24/915

Given numbers are 16/14,48/28,67/51,24/915

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 16,48,67,24

Least Common Multiple of Numerators i.e. LCM of 16,48,67,24 is 3216.

GCF of Denominators means GCF of 14,28,51,915 as per the given fractions.

GCF of 14,28,51,915 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,48,67,24

LCM of Fractions 16/14,48/28,67/51,24/915 is 3216

2 16, 48, 67, 24
2 8, 24, 67, 12
2 4, 6, 67, 12
2 2, 3, 67, 6
3 1, 3, 67, 3
1, 1, 67, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 1 x 67 x 1 = 3216

Least Common Multiple of 16,48,67,24 with GCF Formula

Least Common Multiple of 16,48,67,24 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 16,48,67,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,48,67,24) = 1

common factors(in case of two or more numbers have common factors) = 384

GCF(16,48,67,24) x common factors =1 x 384 = 384

LCM(16,48,67,24) = ( 16 × 48 × 67 × 24 ) / 384

LCM(16,48,67,24) = 1234944 / 384

LCM(16,48,67,24) = 3216


Lets's calculate GCF of 14,28,51,915

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3216/1

Therefore the LCM of Fractions 16/14,48/28,67/51,24/915 is 3216

Greatest Common Factor of 14,28,51,915 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,28,51,915 By Matching Biggest Common Factor Method

Factors of 14

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

1,2,7,14

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 915

List of positive integer factors of 915 that divides 915 without a remainder.

1,3,5,15,61,183,305,915

Greatest Common Factor

We found the factors 14,28,51,915 . The biggest common factor number is the GCF number.
So the greatest common factor 14,28,51,915 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 16/14, 48/28, 67/51, 24/915

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 16/14, 48/28, 67/51, 24/915?

Answer: LCM of Numerators as per given numbers 16/14, 48/28, 67/51, 24/915 is

LCM of Numerators i.e. for 16,48,67,24 is 3216

GCF of denominators i.e. for 14,28,51,915 is 1.

Thus, LCM of Fractions is 3216.Finally, LCM of Fractions for 16/14, 48/28, 67/51, 24/915 is 3216.