Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/105, 71/501, 852/622 quickly i.e. 21300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/105, 71/501, 852/622 is 21300.
LCM(50/105, 71/501, 852/622) = 21300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/105,71/501,852/622
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 50,71,852
Least Common Multiple of Numerators i.e. LCM of 50,71,852 is 21300.
GCF of Denominators means GCF of 105,501,622 as per the given fractions.
GCF of 105,501,622 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,71,852
2 | 50, 71, 852 |
71 | 25, 71, 426 |
25, 1, 6 |
∴ So the LCM of the given numbers is 2 x 71 x 25 x 1 x 6 = 21300
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 50,71,852 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,71,852) = 1
common factors(in case of two or more numbers have common factors) = 142
GCF(50,71,852) x common factors =1 x 142 = 142
LCM(50,71,852) = ( 50 × 71 × 852 ) / 142
LCM(50,71,852) = 3024600 / 142
LCM(50,71,852) = 21300
Lets's calculate GCF of 105,501,622
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21300/1
Therefore the LCM of Fractions 50/105,71/501,852/622 is 21300
Factors of 105
List of positive integer factors of 105 that divides 105 without a remainder.
1,3,5,7,15,21,35,105
Factors of 501
List of positive integer factors of 501 that divides 501 without a remainder.
1,3,167,501
Factors of 622
List of positive integer factors of 622 that divides 622 without a remainder.
1,2,311,622
Greatest Common Factor
We found the factors 105,501,622 . The biggest common factor number is the GCF number.
So the greatest common factor 105,501,622 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 50/105, 71/501, 852/622?
Answer: LCM of Numerators as per given numbers 50/105, 71/501, 852/622 is
LCM of Numerators i.e. for 50,71,852 is 21300
GCF of denominators i.e. for 105,501,622 is 1.
Thus, LCM of Fractions is 21300.Finally, LCM of Fractions for 50/105, 71/501, 852/622 is 21300.