Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/22, 65/62, 42/20, 93/859 quickly i.e. 3469830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/22, 65/62, 42/20, 93/859 is 3469830.
LCM(82/22, 65/62, 42/20, 93/859) = 3469830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/22,65/62,42/20,93/859
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 82,65,42,93
Least Common Multiple of Numerators i.e. LCM of 82,65,42,93 is 3469830.
GCF of Denominators means GCF of 22,62,20,859 as per the given fractions.
GCF of 22,62,20,859 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,65,42,93
2 | 82, 65, 42, 93 |
3 | 41, 65, 21, 93 |
41, 65, 7, 31 |
∴ So the LCM of the given numbers is 2 x 3 x 41 x 65 x 7 x 31 = 3469830
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 82,65,42,93 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,65,42,93) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(82,65,42,93) x common factors =1 x 6 = 6
LCM(82,65,42,93) = ( 82 × 65 × 42 × 93 ) / 6
LCM(82,65,42,93) = 20818980 / 6
LCM(82,65,42,93) = 3469830
Lets's calculate GCF of 22,62,20,859
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3469830/1
Therefore the LCM of Fractions 82/22,65/62,42/20,93/859 is 3469830
Factors of 22
List of positive integer factors of 22 that divides 22 without a remainder.
1,2,11,22
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 859
List of positive integer factors of 859 that divides 859 without a remainder.
1,859
Greatest Common Factor
We found the factors 22,62,20,859 . The biggest common factor number is the GCF number.
So the greatest common factor 22,62,20,859 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 82/22, 65/62, 42/20, 93/859?
Answer: LCM of Numerators as per given numbers 82/22, 65/62, 42/20, 93/859 is
LCM of Numerators i.e. for 82,65,42,93 is 3469830
GCF of denominators i.e. for 22,62,20,859 is 1.
Thus, LCM of Fractions is 3469830.Finally, LCM of Fractions for 82/22, 65/62, 42/20, 93/859 is 3469830.