Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4519/748, 7092/408 quickly i.e. 32048748/68 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4519/748, 7092/408 is 32048748/68.
LCM(4519/748, 7092/408) = 32048748/68
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4519/748,7092/408
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 4519,7092
Least Common Multiple of Numerators i.e. LCM of 4519,7092 is 32048748.
GCF of Denominators means GCF of 748,408 as per the given fractions.
GCF of 748,408 is 68 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4519,7092
Given numbers has no common factors except 1. So, there LCM is their product i.e 32048748
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 4519,7092 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4519,7092) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4519,7092) x common factors =1 x 1 = 1
LCM(4519,7092) = ( 4519 × 7092 ) / 1
LCM(4519,7092) = 32048748 / 1
LCM(4519,7092) = 32048748
Lets's calculate GCF of 748,408
2 | 748, 408 |
2 | 374, 204 |
17 | 187, 102 |
11, 6 |
∴ So the GCF of the given numbers is 2 x 2 x 17 = 68
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32048748/68
Therefore the LCM of Fractions 4519/748,7092/408 is 32048748/68
Factors of 748
List of positive integer factors of 748 that divides 748 without a remainder.
1,2,4,11,17,22,34,44,68,187,374,748
Factors of 408
List of positive integer factors of 408 that divides 408 without a remainder.
1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Greatest Common Factor
We found the factors 748,408 . The biggest common factor number is the GCF number.
So the greatest common factor 748,408 is 68.
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 4519/748, 7092/408?
Answer: LCM of Numerators as per given numbers 4519/748, 7092/408 is
LCM of Numerators i.e. for 4519,7092 is 32048748
GCF of denominators i.e. for 748,408 is 68.
Thus, LCM of Fractions is 32048748/68.Finally, LCM of Fractions for 4519/748, 7092/408 is 32048748/68.