Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/37, 3/27, 90/63, 95/970 quickly i.e. 1710 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/37, 3/27, 90/63, 95/970 is 1710.
LCM(9/37, 3/27, 90/63, 95/970) = 1710
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/37,3/27,90/63,95/970
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 9,3,90,95
Least Common Multiple of Numerators i.e. LCM of 9,3,90,95 is 1710.
GCF of Denominators means GCF of 37,27,63,970 as per the given fractions.
GCF of 37,27,63,970 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,3,90,95
3 | 9, 3, 90, 95 |
3 | 3, 1, 30, 95 |
5 | 1, 1, 10, 95 |
1, 1, 2, 19 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 1 x 1 x 2 x 19 = 1710
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 9,3,90,95 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,3,90,95) = 1
common factors(in case of two or more numbers have common factors) = 135
GCF(9,3,90,95) x common factors =1 x 135 = 135
LCM(9,3,90,95) = ( 9 × 3 × 90 × 95 ) / 135
LCM(9,3,90,95) = 230850 / 135
LCM(9,3,90,95) = 1710
Lets's calculate GCF of 37,27,63,970
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1710/1
Therefore the LCM of Fractions 9/37,3/27,90/63,95/970 is 1710
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Greatest Common Factor
We found the factors 37,27,63,970 . The biggest common factor number is the GCF number.
So the greatest common factor 37,27,63,970 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 9/37, 3/27, 90/63, 95/970?
Answer: LCM of Numerators as per given numbers 9/37, 3/27, 90/63, 95/970 is
LCM of Numerators i.e. for 9,3,90,95 is 1710
GCF of denominators i.e. for 37,27,63,970 is 1.
Thus, LCM of Fractions is 1710.Finally, LCM of Fractions for 9/37, 3/27, 90/63, 95/970 is 1710.