Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 62/39, 81/46, 26/74, 91/859 quickly i.e. 457002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 62/39, 81/46, 26/74, 91/859 is 457002.
LCM(62/39, 81/46, 26/74, 91/859) = 457002
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 62/39,81/46,26/74,91/859
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 62,81,26,91
Least Common Multiple of Numerators i.e. LCM of 62,81,26,91 is 457002.
GCF of Denominators means GCF of 39,46,74,859 as per the given fractions.
GCF of 39,46,74,859 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 62,81,26,91
2 | 62, 81, 26, 91 |
13 | 31, 81, 13, 91 |
31, 81, 1, 7 |
∴ So the LCM of the given numbers is 2 x 13 x 31 x 81 x 1 x 7 = 457002
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 62,81,26,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(62,81,26,91) = 1
common factors(in case of two or more numbers have common factors) = 26
GCF(62,81,26,91) x common factors =1 x 26 = 26
LCM(62,81,26,91) = ( 62 × 81 × 26 × 91 ) / 26
LCM(62,81,26,91) = 11882052 / 26
LCM(62,81,26,91) = 457002
Lets's calculate GCF of 39,46,74,859
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 457002/1
Therefore the LCM of Fractions 62/39,81/46,26/74,91/859 is 457002
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
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 39,46,74,859 . The biggest common factor number is the GCF number.
So the greatest common factor 39,46,74,859 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 62/39, 81/46, 26/74, 91/859?
Answer: LCM of Numerators as per given numbers 62/39, 81/46, 26/74, 91/859 is
LCM of Numerators i.e. for 62,81,26,91 is 457002
GCF of denominators i.e. for 39,46,74,859 is 1.
Thus, LCM of Fractions is 457002.Finally, LCM of Fractions for 62/39, 81/46, 26/74, 91/859 is 457002.