Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/96, 62/16, 41/85, 26/434 quickly i.e. 1817530 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/96, 62/16, 41/85, 26/434 is 1817530.
LCM(55/96, 62/16, 41/85, 26/434) = 1817530
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/96,62/16,41/85,26/434
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 55,62,41,26
Least Common Multiple of Numerators i.e. LCM of 55,62,41,26 is 1817530.
GCF of Denominators means GCF of 96,16,85,434 as per the given fractions.
GCF of 96,16,85,434 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,62,41,26
2 | 55, 62, 41, 26 |
55, 31, 41, 13 |
∴ So the LCM of the given numbers is 2 x 55 x 31 x 41 x 13 = 1817530
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 55,62,41,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,62,41,26) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(55,62,41,26) x common factors =1 x 2 = 2
LCM(55,62,41,26) = ( 55 × 62 × 41 × 26 ) / 2
LCM(55,62,41,26) = 3635060 / 2
LCM(55,62,41,26) = 1817530
Lets's calculate GCF of 96,16,85,434
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1817530/1
Therefore the LCM of Fractions 55/96,62/16,41/85,26/434 is 1817530
Factors of 96
List of positive integer factors of 96 that divides 96 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,96
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Greatest Common Factor
We found the factors 96,16,85,434 . The biggest common factor number is the GCF number.
So the greatest common factor 96,16,85,434 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 55/96, 62/16, 41/85, 26/434?
Answer: LCM of Numerators as per given numbers 55/96, 62/16, 41/85, 26/434 is
LCM of Numerators i.e. for 55,62,41,26 is 1817530
GCF of denominators i.e. for 96,16,85,434 is 1.
Thus, LCM of Fractions is 1817530.Finally, LCM of Fractions for 55/96, 62/16, 41/85, 26/434 is 1817530.