Least Common Multiple of 39/72, 37/26, 39/76, 93/470

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/72, 37/26, 39/76, 93/470 quickly i.e. 44733/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/72, 37/26, 39/76, 93/470 is 44733/2.

LCM(39/72, 37/26, 39/76, 93/470) = 44733/2

LCM of 39/72, 37/26, 39/76, 93/470

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 39/72,37/26,39/76,93/470

Given numbers are 39/72,37/26,39/76,93/470

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 39,37,39,93

Least Common Multiple of Numerators i.e. LCM of 39,37,39,93 is 44733.

GCF of Denominators means GCF of 72,26,76,470 as per the given fractions.

GCF of 72,26,76,470 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,37,39,93

LCM of Fractions 39/72,37/26,39/76,93/470 is 44733/2

3 39, 37, 39, 93
13 13, 37, 13, 31
1, 37, 1, 31

∴ So the LCM of the given numbers is 3 x 13 x 1 x 37 x 1 x 31 = 44733

Least Common Multiple of 39,37,39,93 with GCF Formula

Least Common Multiple of 39,37,39,93 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 39,37,39,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,37,39,93) = 1

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

GCF(39,37,39,93) x common factors =1 x 117 = 117

LCM(39,37,39,93) = ( 39 × 37 × 39 × 93 ) / 117

LCM(39,37,39,93) = 5233761 / 117

LCM(39,37,39,93) = 44733


Lets's calculate GCF of 72,26,76,470

2 72, 26, 76, 470
36, 13, 38, 235

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 44733/2

Therefore the LCM of Fractions 39/72,37/26,39/76,93/470 is 44733/2

Greatest Common Factor of 72,26,76,470 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,26,76,470 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 470

List of positive integer factors of 470 that divides 470 without a remainder.

1,2,5,10,47,94,235,470

Greatest Common Factor

We found the factors 72,26,76,470 . The biggest common factor number is the GCF number.
So the greatest common factor 72,26,76,470 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 39/72, 37/26, 39/76, 93/470

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 39/72, 37/26, 39/76, 93/470?

Answer: LCM of Numerators as per given numbers 39/72, 37/26, 39/76, 93/470 is

LCM of Numerators i.e. for 39,37,39,93 is 44733

GCF of denominators i.e. for 72,26,76,470 is 2.

Thus, LCM of Fractions is 44733/2.Finally, LCM of Fractions for 39/72, 37/26, 39/76, 93/470 is 44733/2.