Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/70, 33/82, 80/50, 91/910 quickly i.e. 2042040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/70, 33/82, 80/50, 91/910 is 2042040.
LCM(85/70, 33/82, 80/50, 91/910) = 2042040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/70,33/82,80/50,91/910
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 85,33,80,91
Least Common Multiple of Numerators i.e. LCM of 85,33,80,91 is 4084080.
GCF of Denominators means GCF of 70,82,50,910 as per the given fractions.
GCF of 70,82,50,910 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,33,80,91
5 | 85, 33, 80, 91 |
17, 33, 16, 91 |
∴ So the LCM of the given numbers is 5 x 17 x 33 x 16 x 91 = 4084080
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 85,33,80,91 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,33,80,91) = 1
common factors(in case of two or more numbers have common factors) = 5
GCF(85,33,80,91) x common factors =1 x 5 = 5
LCM(85,33,80,91) = ( 85 × 33 × 80 × 91 ) / 5
LCM(85,33,80,91) = 20420400 / 5
LCM(85,33,80,91) = 4084080
Lets's calculate GCF of 70,82,50,910
2 | 70, 82, 50, 910 |
35, 41, 25, 455 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4084080/2
Therefore the LCM of Fractions 85/70,33/82,80/50,91/910 is 2042040
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 910
List of positive integer factors of 910 that divides 910 without a remainder.
1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910
Greatest Common Factor
We found the factors 70,82,50,910 . The biggest common factor number is the GCF number.
So the greatest common factor 70,82,50,910 is 2.
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 85/70, 33/82, 80/50, 91/910?
Answer: LCM of Numerators as per given numbers 85/70, 33/82, 80/50, 91/910 is
LCM of Numerators i.e. for 85,33,80,91 is 4084080
GCF of denominators i.e. for 70,82,50,910 is 2.
Thus, LCM of Fractions is 2042040.Finally, LCM of Fractions for 85/70, 33/82, 80/50, 91/910 is 2042040.