Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 241/950, 4618/456 quickly i.e. 1112938/38 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 241/950, 4618/456 is 1112938/38.
LCM(241/950, 4618/456) = 1112938/38
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 241/950,4618/456
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 241,4618
Least Common Multiple of Numerators i.e. LCM of 241,4618 is 1112938.
GCF of Denominators means GCF of 950,456 as per the given fractions.
GCF of 950,456 is 38 as it is the largest common factor for these numbers.
Lets's calculate LCM of 241,4618
Given numbers has no common factors except 1. So, there LCM is their product i.e 1112938
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 241,4618 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,4618) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,4618) x common factors =1 x 1 = 1
LCM(241,4618) = ( 241 × 4618 ) / 1
LCM(241,4618) = 1112938 / 1
LCM(241,4618) = 1112938
Lets's calculate GCF of 950,456
2 | 950, 456 |
19 | 475, 228 |
25, 12 |
∴ So the GCF of the given numbers is 2 x 19 = 38
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1112938/38
Therefore the LCM of Fractions 241/950,4618/456 is 1112938/38
Factors of 950
List of positive integer factors of 950 that divides 950 without a remainder.
1,2,5,10,19,25,38,50,95,190,475,950
Factors of 456
List of positive integer factors of 456 that divides 456 without a remainder.
1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456
Greatest Common Factor
We found the factors 950,456 . The biggest common factor number is the GCF number.
So the greatest common factor 950,456 is 38.
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 241/950, 4618/456?
Answer: LCM of Numerators as per given numbers 241/950, 4618/456 is
LCM of Numerators i.e. for 241,4618 is 1112938
GCF of denominators i.e. for 950,456 is 38.
Thus, LCM of Fractions is 1112938/38.Finally, LCM of Fractions for 241/950, 4618/456 is 1112938/38.