Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 18/25, 86/49, 62/13, 62/93 quickly i.e. 23994 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 18/25, 86/49, 62/13, 62/93 is 23994.
LCM(18/25, 86/49, 62/13, 62/93) = 23994
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 18/25,86/49,62/13,62/93
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 18,86,62,62
Least Common Multiple of Numerators i.e. LCM of 18,86,62,62 is 23994.
GCF of Denominators means GCF of 25,49,13,93 as per the given fractions.
GCF of 25,49,13,93 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 18,86,62,62
2 | 18, 86, 62, 62 |
31 | 9, 43, 31, 31 |
9, 43, 1, 1 |
∴ So the LCM of the given numbers is 2 x 31 x 9 x 43 x 1 x 1 = 23994
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 18,86,62,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(18,86,62,62) = 2
common factors(in case of two or more numbers have common factors) = 124
GCF(18,86,62,62) x common factors =2 x 124 = 248
LCM(18,86,62,62) = ( 18 × 86 × 62 × 62 ) / 248
LCM(18,86,62,62) = 5950512 / 248
LCM(18,86,62,62) = 23994
Lets's calculate GCF of 25,49,13,93
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23994/1
Therefore the LCM of Fractions 18/25,86/49,62/13,62/93 is 23994
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Greatest Common Factor
We found the factors 25,49,13,93 . The biggest common factor number is the GCF number.
So the greatest common factor 25,49,13,93 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 18/25, 86/49, 62/13, 62/93?
Answer: LCM of Numerators as per given numbers 18/25, 86/49, 62/13, 62/93 is
LCM of Numerators i.e. for 18,86,62,62 is 23994
GCF of denominators i.e. for 25,49,13,93 is 1.
Thus, LCM of Fractions is 23994.Finally, LCM of Fractions for 18/25, 86/49, 62/13, 62/93 is 23994.