Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/798, 33/251, 630/922 quickly i.e. 284130 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/798, 33/251, 630/922 is 284130.
LCM(41/798, 33/251, 630/922) = 284130
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/798,33/251,630/922
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 41,33,630
Least Common Multiple of Numerators i.e. LCM of 41,33,630 is 284130.
GCF of Denominators means GCF of 798,251,922 as per the given fractions.
GCF of 798,251,922 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,33,630
3 | 41, 33, 630 |
41, 11, 210 |
∴ So the LCM of the given numbers is 3 x 41 x 11 x 210 = 284130
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 41,33,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,33,630) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(41,33,630) x common factors =1 x 3 = 3
LCM(41,33,630) = ( 41 × 33 × 630 ) / 3
LCM(41,33,630) = 852390 / 3
LCM(41,33,630) = 284130
Lets's calculate GCF of 798,251,922
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 284130/1
Therefore the LCM of Fractions 41/798,33/251,630/922 is 284130
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Factors of 251
List of positive integer factors of 251 that divides 251 without a remainder.
1,251
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Greatest Common Factor
We found the factors 798,251,922 . The biggest common factor number is the GCF number.
So the greatest common factor 798,251,922 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 41/798, 33/251, 630/922?
Answer: LCM of Numerators as per given numbers 41/798, 33/251, 630/922 is
LCM of Numerators i.e. for 41,33,630 is 284130
GCF of denominators i.e. for 798,251,922 is 1.
Thus, LCM of Fractions is 284130.Finally, LCM of Fractions for 41/798, 33/251, 630/922 is 284130.