Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/426, 5930/8456 quickly i.e. 23720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/426, 5930/8456 is 23720.
LCM(80/426, 5930/8456) = 23720
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/426,5930/8456
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 80,5930
Least Common Multiple of Numerators i.e. LCM of 80,5930 is 47440.
GCF of Denominators means GCF of 426,8456 as per the given fractions.
GCF of 426,8456 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,5930
2 | 80, 5930 |
5 | 40, 2965 |
8, 593 |
∴ So the LCM of the given numbers is 2 x 5 x 8 x 593 = 47440
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 80,5930 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,5930) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(80,5930) x common factors =10 x 1 = 10
LCM(80,5930) = ( 80 × 5930 ) / 10
LCM(80,5930) = 474400 / 10
LCM(80,5930) = 47440
Lets's calculate GCF of 426,8456
2 | 426, 8456 |
213, 4228 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47440/2
Therefore the LCM of Fractions 80/426,5930/8456 is 23720
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Factors of 8456
List of positive integer factors of 8456 that divides 8456 without a remainder.
1,2,4,7,8,14,28,56,151,302,604,1057,1208,2114,4228,8456
Greatest Common Factor
We found the factors 426,8456 . The biggest common factor number is the GCF number.
So the greatest common factor 426,8456 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 80/426, 5930/8456?
Answer: LCM of Numerators as per given numbers 80/426, 5930/8456 is
LCM of Numerators i.e. for 80,5930 is 47440
GCF of denominators i.e. for 426,8456 is 2.
Thus, LCM of Fractions is 23720.Finally, LCM of Fractions for 80/426, 5930/8456 is 23720.