Least Common Multiple of 39/870, 360/153, 806/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/870, 360/153, 806/150 quickly i.e. 48360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/870, 360/153, 806/150 is 48360.

LCM(39/870, 360/153, 806/150) = 48360

LCM of 39/870, 360/153, 806/150

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 39/870,360/153,806/150

Given numbers are 39/870,360/153,806/150

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 39,360,806

Least Common Multiple of Numerators i.e. LCM of 39,360,806 is 145080.

GCF of Denominators means GCF of 870,153,150 as per the given fractions.

GCF of 870,153,150 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,360,806

LCM of Fractions 39/870,360/153,806/150 is 48360

2 39, 360, 806
3 39, 180, 403
13 13, 60, 403
1, 60, 31

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 60 x 31 = 145080

Least Common Multiple of 39,360,806 with GCF Formula

Least Common Multiple of 39,360,806 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 39,360,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,360,806) = 1

common factors(in case of two or more numbers have common factors) = 78

GCF(39,360,806) x common factors =1 x 78 = 78

LCM(39,360,806) = ( 39 × 360 × 806 ) / 78

LCM(39,360,806) = 11316240 / 78

LCM(39,360,806) = 145080


Lets's calculate GCF of 870,153,150

3 870, 153, 150
290, 51, 50

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145080/3

Therefore the LCM of Fractions 39/870,360/153,806/150 is 48360

Greatest Common Factor of 870,153,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,153,150 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

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

Greatest Common Factor

We found the factors 870,153,150 . The biggest common factor number is the GCF number.
So the greatest common factor 870,153,150 is 3.


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 39/870, 360/153, 806/150

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 39/870, 360/153, 806/150?

Answer: LCM of Numerators as per given numbers 39/870, 360/153, 806/150 is

LCM of Numerators i.e. for 39,360,806 is 145080

GCF of denominators i.e. for 870,153,150 is 3.

Thus, LCM of Fractions is 48360.Finally, LCM of Fractions for 39/870, 360/153, 806/150 is 48360.