Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 142/252, 513/789 quickly i.e. 24282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 142/252, 513/789 is 24282.
LCM(142/252, 513/789) = 24282
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 142/252,513/789
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 142,513
Least Common Multiple of Numerators i.e. LCM of 142,513 is 72846.
GCF of Denominators means GCF of 252,789 as per the given fractions.
GCF of 252,789 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 142,513
Given numbers has no common factors except 1. So, there LCM is their product i.e 72846
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 142,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,513) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(142,513) x common factors =1 x 1 = 1
LCM(142,513) = ( 142 × 513 ) / 1
LCM(142,513) = 72846 / 1
LCM(142,513) = 72846
Lets's calculate GCF of 252,789
3 | 252, 789 |
84, 263 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72846/3
Therefore the LCM of Fractions 142/252,513/789 is 24282
Factors of 252
List of positive integer factors of 252 that divides 252 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252
Factors of 789
List of positive integer factors of 789 that divides 789 without a remainder.
1,3,263,789
Greatest Common Factor
We found the factors 252,789 . The biggest common factor number is the GCF number.
So the greatest common factor 252,789 is 3.
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 142/252, 513/789?
Answer: LCM of Numerators as per given numbers 142/252, 513/789 is
LCM of Numerators i.e. for 142,513 is 72846
GCF of denominators i.e. for 252,789 is 3.
Thus, LCM of Fractions is 24282.Finally, LCM of Fractions for 142/252, 513/789 is 24282.