Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 508/52, 425/8474 quickly i.e. 107950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 508/52, 425/8474 is 107950.
LCM(508/52, 425/8474) = 107950
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 508/52,425/8474
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 508,425
Least Common Multiple of Numerators i.e. LCM of 508,425 is 215900.
GCF of Denominators means GCF of 52,8474 as per the given fractions.
GCF of 52,8474 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 508,425
Given numbers has no common factors except 1. So, there LCM is their product i.e 215900
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 508,425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(508,425) x common factors =1 x 1 = 1
LCM(508,425) = ( 508 × 425 ) / 1
LCM(508,425) = 215900 / 1
LCM(508,425) = 215900
Lets's calculate GCF of 52,8474
2 | 52, 8474 |
26, 4237 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 215900/2
Therefore the LCM of Fractions 508/52,425/8474 is 107950
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 8474
List of positive integer factors of 8474 that divides 8474 without a remainder.
1,2,19,38,223,446,4237,8474
Greatest Common Factor
We found the factors 52,8474 . The biggest common factor number is the GCF number.
So the greatest common factor 52,8474 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 508/52, 425/8474?
Answer: LCM of Numerators as per given numbers 508/52, 425/8474 is
LCM of Numerators i.e. for 508,425 is 215900
GCF of denominators i.e. for 52,8474 is 2.
Thus, LCM of Fractions is 107950.Finally, LCM of Fractions for 508/52, 425/8474 is 107950.