Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1480/52, 9326/741 quickly i.e. 6901240/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1480/52, 9326/741 is 6901240/13.
LCM(1480/52, 9326/741) = 6901240/13
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1480/52,9326/741
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 1480,9326
Least Common Multiple of Numerators i.e. LCM of 1480,9326 is 6901240.
GCF of Denominators means GCF of 52,741 as per the given fractions.
GCF of 52,741 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1480,9326
2 | 1480, 9326 |
740, 4663 |
∴ So the LCM of the given numbers is 2 x 740 x 4663 = 6901240
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 1480,9326 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1480,9326) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(1480,9326) x common factors =2 x 1 = 2
LCM(1480,9326) = ( 1480 × 9326 ) / 2
LCM(1480,9326) = 13802480 / 2
LCM(1480,9326) = 6901240
Lets's calculate GCF of 52,741
13 | 52, 741 |
4, 57 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6901240/13
Therefore the LCM of Fractions 1480/52,9326/741 is 6901240/13
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 741
List of positive integer factors of 741 that divides 741 without a remainder.
1,3,13,19,39,57,247,741
Greatest Common Factor
We found the factors 52,741 . The biggest common factor number is the GCF number.
So the greatest common factor 52,741 is 13.
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 1480/52, 9326/741?
Answer: LCM of Numerators as per given numbers 1480/52, 9326/741 is
LCM of Numerators i.e. for 1480,9326 is 6901240
GCF of denominators i.e. for 52,741 is 13.
Thus, LCM of Fractions is 6901240/13.Finally, LCM of Fractions for 1480/52, 9326/741 is 6901240/13.