Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 94/32, 65/45, 59/29, 60/486 quickly i.e. 2162940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 94/32, 65/45, 59/29, 60/486 is 2162940.
LCM(94/32, 65/45, 59/29, 60/486) = 2162940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 94/32,65/45,59/29,60/486
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 94,65,59,60
Least Common Multiple of Numerators i.e. LCM of 94,65,59,60 is 2162940.
GCF of Denominators means GCF of 32,45,29,486 as per the given fractions.
GCF of 32,45,29,486 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 94,65,59,60
2 | 94, 65, 59, 60 |
5 | 47, 65, 59, 30 |
47, 13, 59, 6 |
∴ So the LCM of the given numbers is 2 x 5 x 47 x 13 x 59 x 6 = 2162940
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 94,65,59,60 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(94,65,59,60) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(94,65,59,60) x common factors =1 x 10 = 10
LCM(94,65,59,60) = ( 94 × 65 × 59 × 60 ) / 10
LCM(94,65,59,60) = 21629400 / 10
LCM(94,65,59,60) = 2162940
Lets's calculate GCF of 32,45,29,486
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2162940/1
Therefore the LCM of Fractions 94/32,65/45,59/29,60/486 is 2162940
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Greatest Common Factor
We found the factors 32,45,29,486 . The biggest common factor number is the GCF number.
So the greatest common factor 32,45,29,486 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 94/32, 65/45, 59/29, 60/486?
Answer: LCM of Numerators as per given numbers 94/32, 65/45, 59/29, 60/486 is
LCM of Numerators i.e. for 94,65,59,60 is 2162940
GCF of denominators i.e. for 32,45,29,486 is 1.
Thus, LCM of Fractions is 2162940.Finally, LCM of Fractions for 94/32, 65/45, 59/29, 60/486 is 2162940.