Least Common Multiple of 15/47, 207/29, 896/180

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/47, 207/29, 896/180 quickly i.e. 927360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/47, 207/29, 896/180 is 927360.

LCM(15/47, 207/29, 896/180) = 927360

LCM of 15/47, 207/29, 896/180

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 15/47,207/29,896/180

Given numbers are 15/47,207/29,896/180

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 15,207,896

Least Common Multiple of Numerators i.e. LCM of 15,207,896 is 927360.

GCF of Denominators means GCF of 47,29,180 as per the given fractions.

GCF of 47,29,180 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,207,896

LCM of Fractions 15/47,207/29,896/180 is 927360

3 15, 207, 896
5, 69, 896

∴ So the LCM of the given numbers is 3 x 5 x 69 x 896 = 927360

Least Common Multiple of 15,207,896 with GCF Formula

Least Common Multiple of 15,207,896 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 15,207,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,207,896) = 1

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

GCF(15,207,896) x common factors =1 x 3 = 3

LCM(15,207,896) = ( 15 × 207 × 896 ) / 3

LCM(15,207,896) = 2782080 / 3

LCM(15,207,896) = 927360


Lets's calculate GCF of 47,29,180

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 927360/1

Therefore the LCM of Fractions 15/47,207/29,896/180 is 927360

Greatest Common Factor of 47,29,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,29,180 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 47,29,180 . The biggest common factor number is the GCF number.
So the greatest common factor 47,29,180 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 15/47, 207/29, 896/180

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 15/47, 207/29, 896/180?

Answer: LCM of Numerators as per given numbers 15/47, 207/29, 896/180 is

LCM of Numerators i.e. for 15,207,896 is 927360

GCF of denominators i.e. for 47,29,180 is 1.

Thus, LCM of Fractions is 927360.Finally, LCM of Fractions for 15/47, 207/29, 896/180 is 927360.