Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4917/371, 3297/119 quickly i.e. 771969 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4917/371, 3297/119 is 771969.
LCM(4917/371, 3297/119) = 771969
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4917/371,3297/119
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 4917,3297
Least Common Multiple of Numerators i.e. LCM of 4917,3297 is 5403783.
GCF of Denominators means GCF of 371,119 as per the given fractions.
GCF of 371,119 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4917,3297
3 | 4917, 3297 |
1639, 1099 |
∴ So the LCM of the given numbers is 3 x 1639 x 1099 = 5403783
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 4917,3297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4917,3297) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(4917,3297) x common factors =3 x 1 = 3
LCM(4917,3297) = ( 4917 × 3297 ) / 3
LCM(4917,3297) = 16211349 / 3
LCM(4917,3297) = 5403783
Lets's calculate GCF of 371,119
7 | 371, 119 |
53, 17 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5403783/7
Therefore the LCM of Fractions 4917/371,3297/119 is 771969
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Greatest Common Factor
We found the factors 371,119 . The biggest common factor number is the GCF number.
So the greatest common factor 371,119 is 7.
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 4917/371, 3297/119?
Answer: LCM of Numerators as per given numbers 4917/371, 3297/119 is
LCM of Numerators i.e. for 4917,3297 is 5403783
GCF of denominators i.e. for 371,119 is 7.
Thus, LCM of Fractions is 771969.Finally, LCM of Fractions for 4917/371, 3297/119 is 771969.