Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 165/29, 848/62, 577/399 quickly i.e. 80733840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 165/29, 848/62, 577/399 is 80733840.
LCM(165/29, 848/62, 577/399) = 80733840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 165/29,848/62,577/399
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 165,848,577
Least Common Multiple of Numerators i.e. LCM of 165,848,577 is 80733840.
GCF of Denominators means GCF of 29,62,399 as per the given fractions.
GCF of 29,62,399 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 165,848,577
Given numbers has no common factors except 1. So, there LCM is their product i.e 80733840
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 165,848,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(165,848,577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(165,848,577) x common factors =1 x 1 = 1
LCM(165,848,577) = ( 165 × 848 × 577 ) / 1
LCM(165,848,577) = 80733840 / 1
LCM(165,848,577) = 80733840
Lets's calculate GCF of 29,62,399
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80733840/1
Therefore the LCM of Fractions 165/29,848/62,577/399 is 80733840
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 399
List of positive integer factors of 399 that divides 399 without a remainder.
1,3,7,19,21,57,133,399
Greatest Common Factor
We found the factors 29,62,399 . The biggest common factor number is the GCF number.
So the greatest common factor 29,62,399 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 165/29, 848/62, 577/399?
Answer: LCM of Numerators as per given numbers 165/29, 848/62, 577/399 is
LCM of Numerators i.e. for 165,848,577 is 80733840
GCF of denominators i.e. for 29,62,399 is 1.
Thus, LCM of Fractions is 80733840.Finally, LCM of Fractions for 165/29, 848/62, 577/399 is 80733840.