Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/23, 37/45, 45/57, 82/842 quickly i.e. 4232430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/23, 37/45, 45/57, 82/842 is 4232430.
LCM(62/23, 37/45, 45/57, 82/842) = 4232430
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/23,37/45,45/57,82/842
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 62,37,45,82
Least Common Multiple of Numerators i.e. LCM of 62,37,45,82 is 4232430.
GCF of Denominators means GCF of 23,45,57,842 as per the given fractions.
GCF of 23,45,57,842 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,37,45,82
2 | 62, 37, 45, 82 |
31, 37, 45, 41 |
∴ So the LCM of the given numbers is 2 x 31 x 37 x 45 x 41 = 4232430
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 62,37,45,82 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,37,45,82) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(62,37,45,82) x common factors =1 x 2 = 2
LCM(62,37,45,82) = ( 62 × 37 × 45 × 82 ) / 2
LCM(62,37,45,82) = 8464860 / 2
LCM(62,37,45,82) = 4232430
Lets's calculate GCF of 23,45,57,842
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4232430/1
Therefore the LCM of Fractions 62/23,37/45,45/57,82/842 is 4232430
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 842
List of positive integer factors of 842 that divides 842 without a remainder.
1,2,421,842
Greatest Common Factor
We found the factors 23,45,57,842 . The biggest common factor number is the GCF number.
So the greatest common factor 23,45,57,842 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 62/23, 37/45, 45/57, 82/842?
Answer: LCM of Numerators as per given numbers 62/23, 37/45, 45/57, 82/842 is
LCM of Numerators i.e. for 62,37,45,82 is 4232430
GCF of denominators i.e. for 23,45,57,842 is 1.
Thus, LCM of Fractions is 4232430.Finally, LCM of Fractions for 62/23, 37/45, 45/57, 82/842 is 4232430.