Least Common Multiple of 897/45, 551/39, 288/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 897/45, 551/39, 288/165 quickly i.e. 15815904 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 897/45, 551/39, 288/165 is 15815904.

LCM(897/45, 551/39, 288/165) = 15815904

LCM of 897/45, 551/39, 288/165

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 897/45,551/39,288/165

Given numbers are 897/45,551/39,288/165

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 897,551,288

Least Common Multiple of Numerators i.e. LCM of 897,551,288 is 47447712.

GCF of Denominators means GCF of 45,39,165 as per the given fractions.

GCF of 45,39,165 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 897,551,288

LCM of Fractions 897/45,551/39,288/165 is 15815904

3 897, 551, 288
299, 551, 96

∴ So the LCM of the given numbers is 3 x 299 x 551 x 96 = 47447712

Least Common Multiple of 897,551,288 with GCF Formula

Least Common Multiple of 897,551,288 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 897,551,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,551,288) = 1

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

GCF(897,551,288) x common factors =1 x 3 = 3

LCM(897,551,288) = ( 897 × 551 × 288 ) / 3

LCM(897,551,288) = 142343136 / 3

LCM(897,551,288) = 47447712


Lets's calculate GCF of 45,39,165

3 45, 39, 165
15, 13, 55

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47447712/3

Therefore the LCM of Fractions 897/45,551/39,288/165 is 15815904

Greatest Common Factor of 45,39,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,39,165 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 45,39,165 . The biggest common factor number is the GCF number.
So the greatest common factor 45,39,165 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 897/45, 551/39, 288/165

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 897/45, 551/39, 288/165?

Answer: LCM of Numerators as per given numbers 897/45, 551/39, 288/165 is

LCM of Numerators i.e. for 897,551,288 is 47447712

GCF of denominators i.e. for 45,39,165 is 3.

Thus, LCM of Fractions is 15815904.Finally, LCM of Fractions for 897/45, 551/39, 288/165 is 15815904.