Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/775, 44/165, 12/438 quickly i.e. 132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/775, 44/165, 12/438 is 132.
LCM(1/775, 44/165, 12/438) = 132
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/775,44/165,12/438
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 1,44,12
Least Common Multiple of Numerators i.e. LCM of 1,44,12 is 132.
GCF of Denominators means GCF of 775,165,438 as per the given fractions.
GCF of 775,165,438 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,44,12
2 | 1, 44, 12 |
2 | 1, 22, 6 |
1, 11, 3 |
∴ So the LCM of the given numbers is 2 x 2 x 1 x 11 x 3 = 132
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 1,44,12 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,44,12) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(1,44,12) x common factors =1 x 4 = 4
LCM(1,44,12) = ( 1 × 44 × 12 ) / 4
LCM(1,44,12) = 528 / 4
LCM(1,44,12) = 132
Lets's calculate GCF of 775,165,438
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132/1
Therefore the LCM of Fractions 1/775,44/165,12/438 is 132
Factors of 775
List of positive integer factors of 775 that divides 775 without a remainder.
1,5,25,31,155,775
Factors of 165
List of positive integer factors of 165 that divides 165 without a remainder.
1,3,5,11,15,33,55,165
Factors of 438
List of positive integer factors of 438 that divides 438 without a remainder.
1,2,3,6,73,146,219,438
Greatest Common Factor
We found the factors 775,165,438 . The biggest common factor number is the GCF number.
So the greatest common factor 775,165,438 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 1/775, 44/165, 12/438?
Answer: LCM of Numerators as per given numbers 1/775, 44/165, 12/438 is
LCM of Numerators i.e. for 1,44,12 is 132
GCF of denominators i.e. for 775,165,438 is 1.
Thus, LCM of Fractions is 132.Finally, LCM of Fractions for 1/775, 44/165, 12/438 is 132.