Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 248/47, 825/282 quickly i.e. 204600/47 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 248/47, 825/282 is 204600/47.
LCM(248/47, 825/282) = 204600/47
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 248/47,825/282
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 248,825
Least Common Multiple of Numerators i.e. LCM of 248,825 is 204600.
GCF of Denominators means GCF of 47,282 as per the given fractions.
GCF of 47,282 is 47 as it is the largest common factor for these numbers.
Lets's calculate LCM of 248,825
Given numbers has no common factors except 1. So, there LCM is their product i.e 204600
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 248,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(248,825) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(248,825) x common factors =1 x 1 = 1
LCM(248,825) = ( 248 × 825 ) / 1
LCM(248,825) = 204600 / 1
LCM(248,825) = 204600
Lets's calculate GCF of 47,282
47 | 47, 282 |
1, 6 |
∴ So the GCF of the given numbers is 47 = 47
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204600/47
Therefore the LCM of Fractions 248/47,825/282 is 204600/47
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Greatest Common Factor
We found the factors 47,282 . The biggest common factor number is the GCF number.
So the greatest common factor 47,282 is 47.
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 248/47, 825/282?
Answer: LCM of Numerators as per given numbers 248/47, 825/282 is
LCM of Numerators i.e. for 248,825 is 204600
GCF of denominators i.e. for 47,282 is 47.
Thus, LCM of Fractions is 204600/47.Finally, LCM of Fractions for 248/47, 825/282 is 204600/47.