Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 798/36, 850/1515 quickly i.e. 113050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 798/36, 850/1515 is 113050.
LCM(798/36, 850/1515) = 113050
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 798/36,850/1515
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 798,850
Least Common Multiple of Numerators i.e. LCM of 798,850 is 339150.
GCF of Denominators means GCF of 36,1515 as per the given fractions.
GCF of 36,1515 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 798,850
2 | 798, 850 |
399, 425 |
∴ So the LCM of the given numbers is 2 x 399 x 425 = 339150
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 798,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,850) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(798,850) x common factors =2 x 1 = 2
LCM(798,850) = ( 798 × 850 ) / 2
LCM(798,850) = 678300 / 2
LCM(798,850) = 339150
Lets's calculate GCF of 36,1515
3 | 36, 1515 |
12, 505 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 339150/3
Therefore the LCM of Fractions 798/36,850/1515 is 113050
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 1515
List of positive integer factors of 1515 that divides 1515 without a remainder.
1,3,5,15,101,303,505,1515
Greatest Common Factor
We found the factors 36,1515 . The biggest common factor number is the GCF number.
So the greatest common factor 36,1515 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 798/36, 850/1515?
Answer: LCM of Numerators as per given numbers 798/36, 850/1515 is
LCM of Numerators i.e. for 798,850 is 339150
GCF of denominators i.e. for 36,1515 is 3.
Thus, LCM of Fractions is 113050.Finally, LCM of Fractions for 798/36, 850/1515 is 113050.