Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 961/208, 5038/224 quickly i.e. 4841518/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 961/208, 5038/224 is 4841518/16.
LCM(961/208, 5038/224) = 4841518/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 961/208,5038/224
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 961,5038
Least Common Multiple of Numerators i.e. LCM of 961,5038 is 4841518.
GCF of Denominators means GCF of 208,224 as per the given fractions.
GCF of 208,224 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 961,5038
Given numbers has no common factors except 1. So, there LCM is their product i.e 4841518
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 961,5038 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(961,5038) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(961,5038) x common factors =1 x 1 = 1
LCM(961,5038) = ( 961 × 5038 ) / 1
LCM(961,5038) = 4841518 / 1
LCM(961,5038) = 4841518
Lets's calculate GCF of 208,224
2 | 208, 224 |
2 | 104, 112 |
2 | 52, 56 |
2 | 26, 28 |
13, 14 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4841518/16
Therefore the LCM of Fractions 961/208,5038/224 is 4841518/16
Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
Factors of 224
List of positive integer factors of 224 that divides 224 without a remainder.
1,2,4,7,8,14,16,28,32,56,112,224
Greatest Common Factor
We found the factors 208,224 . The biggest common factor number is the GCF number.
So the greatest common factor 208,224 is 16.
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 961/208, 5038/224?
Answer: LCM of Numerators as per given numbers 961/208, 5038/224 is
LCM of Numerators i.e. for 961,5038 is 4841518
GCF of denominators i.e. for 208,224 is 16.
Thus, LCM of Fractions is 4841518/16.Finally, LCM of Fractions for 961/208, 5038/224 is 4841518/16.