Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/31, 66/85, 15/45, 15/433 quickly i.e. 15510 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/31, 66/85, 15/45, 15/433 is 15510.
LCM(94/31, 66/85, 15/45, 15/433) = 15510
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/31,66/85,15/45,15/433
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 94,66,15,15
Least Common Multiple of Numerators i.e. LCM of 94,66,15,15 is 15510.
GCF of Denominators means GCF of 31,85,45,433 as per the given fractions.
GCF of 31,85,45,433 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,66,15,15
2 | 94, 66, 15, 15 |
3 | 47, 33, 15, 15 |
5 | 47, 11, 5, 5 |
47, 11, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 47 x 11 x 1 x 1 = 15510
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 94,66,15,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,66,15,15) = 1
common factors(in case of two or more numbers have common factors) = 90
GCF(94,66,15,15) x common factors =1 x 90 = 90
LCM(94,66,15,15) = ( 94 × 66 × 15 × 15 ) / 90
LCM(94,66,15,15) = 1395900 / 90
LCM(94,66,15,15) = 15510
Lets's calculate GCF of 31,85,45,433
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15510/1
Therefore the LCM of Fractions 94/31,66/85,15/45,15/433 is 15510
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 433
List of positive integer factors of 433 that divides 433 without a remainder.
1,433
Greatest Common Factor
We found the factors 31,85,45,433 . The biggest common factor number is the GCF number.
So the greatest common factor 31,85,45,433 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 94/31, 66/85, 15/45, 15/433?
Answer: LCM of Numerators as per given numbers 94/31, 66/85, 15/45, 15/433 is
LCM of Numerators i.e. for 94,66,15,15 is 15510
GCF of denominators i.e. for 31,85,45,433 is 1.
Thus, LCM of Fractions is 15510.Finally, LCM of Fractions for 94/31, 66/85, 15/45, 15/433 is 15510.