Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/124, 5903/5072 quickly i.e. 94448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/124, 5903/5072 is 94448.
LCM(64/124, 5903/5072) = 94448
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/124,5903/5072
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 64,5903
Least Common Multiple of Numerators i.e. LCM of 64,5903 is 377792.
GCF of Denominators means GCF of 124,5072 as per the given fractions.
GCF of 124,5072 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,5903
Given numbers has no common factors except 1. So, there LCM is their product i.e 377792
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 64,5903 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,5903) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,5903) x common factors =1 x 1 = 1
LCM(64,5903) = ( 64 × 5903 ) / 1
LCM(64,5903) = 377792 / 1
LCM(64,5903) = 377792
Lets's calculate GCF of 124,5072
2 | 124, 5072 |
2 | 62, 2536 |
31, 1268 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 377792/4
Therefore the LCM of Fractions 64/124,5903/5072 is 94448
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 5072
List of positive integer factors of 5072 that divides 5072 without a remainder.
1,2,4,8,16,317,634,1268,2536,5072
Greatest Common Factor
We found the factors 124,5072 . The biggest common factor number is the GCF number.
So the greatest common factor 124,5072 is 4.
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 64/124, 5903/5072?
Answer: LCM of Numerators as per given numbers 64/124, 5903/5072 is
LCM of Numerators i.e. for 64,5903 is 377792
GCF of denominators i.e. for 124,5072 is 4.
Thus, LCM of Fractions is 94448.Finally, LCM of Fractions for 64/124, 5903/5072 is 94448.