Least Common Multiple of 39/150, 447/265, 866/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/150, 447/265, 866/465 quickly i.e. 5032326/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/150, 447/265, 866/465 is 5032326/5.

LCM(39/150, 447/265, 866/465) = 5032326/5

LCM of 39/150, 447/265, 866/465

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 39/150,447/265,866/465

Given numbers are 39/150,447/265,866/465

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 39,447,866

Least Common Multiple of Numerators i.e. LCM of 39,447,866 is 5032326.

GCF of Denominators means GCF of 150,265,465 as per the given fractions.

GCF of 150,265,465 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,447,866

LCM of Fractions 39/150,447/265,866/465 is 5032326/5

3 39, 447, 866
13, 149, 866

∴ So the LCM of the given numbers is 3 x 13 x 149 x 866 = 5032326

Least Common Multiple of 39,447,866 with GCF Formula

Least Common Multiple of 39,447,866 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 39,447,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,447,866) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(39,447,866) x common factors =1 x 3 = 3

LCM(39,447,866) = ( 39 × 447 × 866 ) / 3

LCM(39,447,866) = 15096978 / 3

LCM(39,447,866) = 5032326


Lets's calculate GCF of 150,265,465

5 150, 265, 465
30, 53, 93

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5032326/5

Therefore the LCM of Fractions 39/150,447/265,866/465 is 5032326/5

Greatest Common Factor of 150,265,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,265,465 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 265

List of positive integer factors of 265 that divides 265 without a remainder.

1,5,53,265

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 150,265,465 . The biggest common factor number is the GCF number.
So the greatest common factor 150,265,465 is 5.


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 39/150, 447/265, 866/465

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 39/150, 447/265, 866/465?

Answer: LCM of Numerators as per given numbers 39/150, 447/265, 866/465 is

LCM of Numerators i.e. for 39,447,866 is 5032326

GCF of denominators i.e. for 150,265,465 is 5.

Thus, LCM of Fractions is 5032326/5.Finally, LCM of Fractions for 39/150, 447/265, 866/465 is 5032326/5.