Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/434, 3002/5626 quickly i.e. 82555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/434, 3002/5626 is 82555.
LCM(55/434, 3002/5626) = 82555
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/434,3002/5626
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 55,3002
Least Common Multiple of Numerators i.e. LCM of 55,3002 is 165110.
GCF of Denominators means GCF of 434,5626 as per the given fractions.
GCF of 434,5626 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,3002
Given numbers has no common factors except 1. So, there LCM is their product i.e 165110
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 55,3002 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,3002) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,3002) x common factors =1 x 1 = 1
LCM(55,3002) = ( 55 × 3002 ) / 1
LCM(55,3002) = 165110 / 1
LCM(55,3002) = 165110
Lets's calculate GCF of 434,5626
2 | 434, 5626 |
217, 2813 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 165110/2
Therefore the LCM of Fractions 55/434,3002/5626 is 82555
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 5626
List of positive integer factors of 5626 that divides 5626 without a remainder.
1,2,29,58,97,194,2813,5626
Greatest Common Factor
We found the factors 434,5626 . The biggest common factor number is the GCF number.
So the greatest common factor 434,5626 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 55/434, 3002/5626?
Answer: LCM of Numerators as per given numbers 55/434, 3002/5626 is
LCM of Numerators i.e. for 55,3002 is 165110
GCF of denominators i.e. for 434,5626 is 2.
Thus, LCM of Fractions is 82555.Finally, LCM of Fractions for 55/434, 3002/5626 is 82555.