Least Common Multiple of 39/23, 33/44, 13/56, 15/860

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/23, 33/44, 13/56, 15/860 quickly i.e. 2145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/23, 33/44, 13/56, 15/860 is 2145.

LCM(39/23, 33/44, 13/56, 15/860) = 2145

LCM of 39/23, 33/44, 13/56, 15/860

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 39/23,33/44,13/56,15/860

Given numbers are 39/23,33/44,13/56,15/860

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 39,33,13,15

Least Common Multiple of Numerators i.e. LCM of 39,33,13,15 is 2145.

GCF of Denominators means GCF of 23,44,56,860 as per the given fractions.

GCF of 23,44,56,860 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,33,13,15

LCM of Fractions 39/23,33/44,13/56,15/860 is 2145

3 39, 33, 13, 15
13 13, 11, 13, 5
1, 11, 1, 5

∴ So the LCM of the given numbers is 3 x 13 x 1 x 11 x 1 x 5 = 2145

Least Common Multiple of 39,33,13,15 with GCF Formula

Least Common Multiple of 39,33,13,15 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 39,33,13,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,33,13,15) = 1

common factors(in case of two or more numbers have common factors) = 117

GCF(39,33,13,15) x common factors =1 x 117 = 117

LCM(39,33,13,15) = ( 39 × 33 × 13 × 15 ) / 117

LCM(39,33,13,15) = 250965 / 117

LCM(39,33,13,15) = 2145


Lets's calculate GCF of 23,44,56,860

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2145/1

Therefore the LCM of Fractions 39/23,33/44,13/56,15/860 is 2145

Greatest Common Factor of 23,44,56,860 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,44,56,860 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 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 860

List of positive integer factors of 860 that divides 860 without a remainder.

1,2,4,5,10,20,43,86,172,215,430,860

Greatest Common Factor

We found the factors 23,44,56,860 . The biggest common factor number is the GCF number.
So the greatest common factor 23,44,56,860 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 39/23, 33/44, 13/56, 15/860

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 39/23, 33/44, 13/56, 15/860?

Answer: LCM of Numerators as per given numbers 39/23, 33/44, 13/56, 15/860 is

LCM of Numerators i.e. for 39,33,13,15 is 2145

GCF of denominators i.e. for 23,44,56,860 is 1.

Thus, LCM of Fractions is 2145.Finally, LCM of Fractions for 39/23, 33/44, 13/56, 15/860 is 2145.