Least Common Multiple of 444/164, 257/218, 415/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 444/164, 257/218, 415/165 quickly i.e. 47354820 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 444/164, 257/218, 415/165 is 47354820.

LCM(444/164, 257/218, 415/165) = 47354820

LCM of 444/164, 257/218, 415/165

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 444/164,257/218,415/165

Given numbers are 444/164,257/218,415/165

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 444,257,415

Least Common Multiple of Numerators i.e. LCM of 444,257,415 is 47354820.

GCF of Denominators means GCF of 164,218,165 as per the given fractions.

GCF of 164,218,165 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 444,257,415

LCM of Fractions 444/164,257/218,415/165 is 47354820

Given numbers has no common factors except 1. So, there LCM is their product i.e 47354820

Least Common Multiple of 444,257,415 with GCF Formula

Least Common Multiple of 444,257,415 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 444,257,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(444,257,415) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(444,257,415) x common factors =1 x 1 = 1

LCM(444,257,415) = ( 444 × 257 × 415 ) / 1

LCM(444,257,415) = 47354820 / 1

LCM(444,257,415) = 47354820


Lets's calculate GCF of 164,218,165

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47354820/1

Therefore the LCM of Fractions 444/164,257/218,415/165 is 47354820

Greatest Common Factor of 164,218,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 164,218,165 By Matching Biggest Common Factor Method

Factors of 164

List of positive integer factors of 164 that divides 164 without a remainder.

1,2,4,41,82,164

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

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 164,218,165 . The biggest common factor number is the GCF number.
So the greatest common factor 164,218,165 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 444/164, 257/218, 415/165

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 444/164, 257/218, 415/165?

Answer: LCM of Numerators as per given numbers 444/164, 257/218, 415/165 is

LCM of Numerators i.e. for 444,257,415 is 47354820

GCF of denominators i.e. for 164,218,165 is 1.

Thus, LCM of Fractions is 47354820.Finally, LCM of Fractions for 444/164, 257/218, 415/165 is 47354820.