Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 52/16, 63/122, 642/433 quickly i.e. 350532 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 52/16, 63/122, 642/433 is 350532.
LCM(52/16, 63/122, 642/433) = 350532
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 52/16,63/122,642/433
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 52,63,642
Least Common Multiple of Numerators i.e. LCM of 52,63,642 is 350532.
GCF of Denominators means GCF of 16,122,433 as per the given fractions.
GCF of 16,122,433 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 52,63,642
2 | 52, 63, 642 |
3 | 26, 63, 321 |
26, 21, 107 |
∴ So the LCM of the given numbers is 2 x 3 x 26 x 21 x 107 = 350532
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 52,63,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(52,63,642) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(52,63,642) x common factors =1 x 6 = 6
LCM(52,63,642) = ( 52 × 63 × 642 ) / 6
LCM(52,63,642) = 2103192 / 6
LCM(52,63,642) = 350532
Lets's calculate GCF of 16,122,433
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 350532/1
Therefore the LCM of Fractions 52/16,63/122,642/433 is 350532
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 122
List of positive integer factors of 122 that divides 122 without a remainder.
1,2,61,122
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Greatest Common Factor
We found the factors 16,122,433 . The biggest common factor number is the GCF number.
So the greatest common factor 16,122,433 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 52/16, 63/122, 642/433?
Answer: LCM of Numerators as per given numbers 52/16, 63/122, 642/433 is
LCM of Numerators i.e. for 52,63,642 is 350532
GCF of denominators i.e. for 16,122,433 is 1.
Thus, LCM of Fractions is 350532.Finally, LCM of Fractions for 52/16, 63/122, 642/433 is 350532.