Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/29, 532/60, 351/445 quickly i.e. 7656012 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/29, 532/60, 351/445 is 7656012.
LCM(82/29, 532/60, 351/445) = 7656012
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/29,532/60,351/445
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 82,532,351
Least Common Multiple of Numerators i.e. LCM of 82,532,351 is 7656012.
GCF of Denominators means GCF of 29,60,445 as per the given fractions.
GCF of 29,60,445 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,532,351
2 | 82, 532, 351 |
41, 266, 351 |
∴ So the LCM of the given numbers is 2 x 41 x 266 x 351 = 7656012
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 82,532,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,532,351) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(82,532,351) x common factors =1 x 2 = 2
LCM(82,532,351) = ( 82 × 532 × 351 ) / 2
LCM(82,532,351) = 15312024 / 2
LCM(82,532,351) = 7656012
Lets's calculate GCF of 29,60,445
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7656012/1
Therefore the LCM of Fractions 82/29,532/60,351/445 is 7656012
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Greatest Common Factor
We found the factors 29,60,445 . The biggest common factor number is the GCF number.
So the greatest common factor 29,60,445 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 82/29, 532/60, 351/445?
Answer: LCM of Numerators as per given numbers 82/29, 532/60, 351/445 is
LCM of Numerators i.e. for 82,532,351 is 7656012
GCF of denominators i.e. for 29,60,445 is 1.
Thus, LCM of Fractions is 7656012.Finally, LCM of Fractions for 82/29, 532/60, 351/445 is 7656012.