Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/47, 2/31, 90/45, 13/786 quickly i.e. 1170 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/47, 2/31, 90/45, 13/786 is 1170.
LCM(9/47, 2/31, 90/45, 13/786) = 1170
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/47,2/31,90/45,13/786
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 9,2,90,13
Least Common Multiple of Numerators i.e. LCM of 9,2,90,13 is 1170.
GCF of Denominators means GCF of 47,31,45,786 as per the given fractions.
GCF of 47,31,45,786 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,2,90,13
2 | 9, 2, 90, 13 |
3 | 9, 1, 45, 13 |
3 | 3, 1, 15, 13 |
1, 1, 5, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 1 x 5 x 13 = 1170
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 9,2,90,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,2,90,13) = 1
common factors(in case of two or more numbers have common factors) = 18
GCF(9,2,90,13) x common factors =1 x 18 = 18
LCM(9,2,90,13) = ( 9 × 2 × 90 × 13 ) / 18
LCM(9,2,90,13) = 21060 / 18
LCM(9,2,90,13) = 1170
Lets's calculate GCF of 47,31,45,786
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1170/1
Therefore the LCM of Fractions 9/47,2/31,90/45,13/786 is 1170
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 786
List of positive integer factors of 786 that divides 786 without a remainder.
1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 47,31,45,786 . The biggest common factor number is the GCF number.
So the greatest common factor 47,31,45,786 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 9/47, 2/31, 90/45, 13/786?
Answer: LCM of Numerators as per given numbers 9/47, 2/31, 90/45, 13/786 is
LCM of Numerators i.e. for 9,2,90,13 is 1170
GCF of denominators i.e. for 47,31,45,786 is 1.
Thus, LCM of Fractions is 1170.Finally, LCM of Fractions for 9/47, 2/31, 90/45, 13/786 is 1170.