Least Common Multiple of 48/23, 13/51, 15/42, 48/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/23, 13/51, 15/42, 48/990 quickly i.e. 3120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/23, 13/51, 15/42, 48/990 is 3120.

LCM(48/23, 13/51, 15/42, 48/990) = 3120

LCM of 48/23, 13/51, 15/42, 48/990

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 48/23,13/51,15/42,48/990

Given numbers are 48/23,13/51,15/42,48/990

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 48,13,15,48

Least Common Multiple of Numerators i.e. LCM of 48,13,15,48 is 3120.

GCF of Denominators means GCF of 23,51,42,990 as per the given fractions.

GCF of 23,51,42,990 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,13,15,48

LCM of Fractions 48/23,13/51,15/42,48/990 is 3120

2 48, 13, 15, 48
2 24, 13, 15, 24
2 12, 13, 15, 12
2 6, 13, 15, 6
3 3, 13, 15, 3
1, 13, 5, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 1 x 13 x 5 x 1 = 3120

Least Common Multiple of 48,13,15,48 with GCF Formula

Least Common Multiple of 48,13,15,48 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 48,13,15,48 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,13,15,48) = 1

common factors(in case of two or more numbers have common factors) = 144

GCF(48,13,15,48) x common factors =1 x 144 = 144

LCM(48,13,15,48) = ( 48 × 13 × 15 × 48 ) / 144

LCM(48,13,15,48) = 449280 / 144

LCM(48,13,15,48) = 3120


Lets's calculate GCF of 23,51,42,990

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3120/1

Therefore the LCM of Fractions 48/23,13/51,15/42,48/990 is 3120

Greatest Common Factor of 23,51,42,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,51,42,990 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 51

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

1,3,17,51

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Greatest Common Factor

We found the factors 23,51,42,990 . The biggest common factor number is the GCF number.
So the greatest common factor 23,51,42,990 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 48/23, 13/51, 15/42, 48/990

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 48/23, 13/51, 15/42, 48/990?

Answer: LCM of Numerators as per given numbers 48/23, 13/51, 15/42, 48/990 is

LCM of Numerators i.e. for 48,13,15,48 is 3120

GCF of denominators i.e. for 23,51,42,990 is 1.

Thus, LCM of Fractions is 3120.Finally, LCM of Fractions for 48/23, 13/51, 15/42, 48/990 is 3120.