Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/13, 9/84, 91/52, 62/431 quickly i.e. 50778 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/13, 9/84, 91/52, 62/431 is 50778.
LCM(7/13, 9/84, 91/52, 62/431) = 50778
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/13,9/84,91/52,62/431
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 7,9,91,62
Least Common Multiple of Numerators i.e. LCM of 7,9,91,62 is 50778.
GCF of Denominators means GCF of 13,84,52,431 as per the given fractions.
GCF of 13,84,52,431 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,9,91,62
7 | 7, 9, 91, 62 |
1, 9, 13, 62 |
∴ So the LCM of the given numbers is 7 x 1 x 9 x 13 x 62 = 50778
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 7,9,91,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,9,91,62) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(7,9,91,62) x common factors =1 x 7 = 7
LCM(7,9,91,62) = ( 7 × 9 × 91 × 62 ) / 7
LCM(7,9,91,62) = 355446 / 7
LCM(7,9,91,62) = 50778
Lets's calculate GCF of 13,84,52,431
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50778/1
Therefore the LCM of Fractions 7/13,9/84,91/52,62/431 is 50778
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 431
List of positive integer factors of 431 that divides 431 without a remainder.
1,431
Greatest Common Factor
We found the factors 13,84,52,431 . The biggest common factor number is the GCF number.
So the greatest common factor 13,84,52,431 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 7/13, 9/84, 91/52, 62/431?
Answer: LCM of Numerators as per given numbers 7/13, 9/84, 91/52, 62/431 is
LCM of Numerators i.e. for 7,9,91,62 is 50778
GCF of denominators i.e. for 13,84,52,431 is 1.
Thus, LCM of Fractions is 50778.Finally, LCM of Fractions for 7/13, 9/84, 91/52, 62/431 is 50778.