Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3477/117, 9390/5663 quickly i.e. 10883010 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3477/117, 9390/5663 is 10883010.
LCM(3477/117, 9390/5663) = 10883010
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3477/117,9390/5663
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 3477,9390
Least Common Multiple of Numerators i.e. LCM of 3477,9390 is 10883010.
GCF of Denominators means GCF of 117,5663 as per the given fractions.
GCF of 117,5663 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3477,9390
3 | 3477, 9390 |
1159, 3130 |
∴ So the LCM of the given numbers is 3 x 1159 x 3130 = 10883010
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 3477,9390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3477,9390) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(3477,9390) x common factors =3 x 1 = 3
LCM(3477,9390) = ( 3477 × 9390 ) / 3
LCM(3477,9390) = 32649030 / 3
LCM(3477,9390) = 10883010
Lets's calculate GCF of 117,5663
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10883010/1
Therefore the LCM of Fractions 3477/117,9390/5663 is 10883010
Factors of 117
List of positive integer factors of 117 that divides 117 without a remainder.
1,3,9,13,39,117
Factors of 5663
List of positive integer factors of 5663 that divides 5663 without a remainder.
1,7,809,5663
Greatest Common Factor
We found the factors 117,5663 . The biggest common factor number is the GCF number.
So the greatest common factor 117,5663 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 3477/117, 9390/5663?
Answer: LCM of Numerators as per given numbers 3477/117, 9390/5663 is
LCM of Numerators i.e. for 3477,9390 is 10883010
GCF of denominators i.e. for 117,5663 is 1.
Thus, LCM of Fractions is 10883010.Finally, LCM of Fractions for 3477/117, 9390/5663 is 10883010.