Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9049/281, 1480/8756 quickly i.e. 13392520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9049/281, 1480/8756 is 13392520.
LCM(9049/281, 1480/8756) = 13392520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9049/281,1480/8756
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 9049,1480
Least Common Multiple of Numerators i.e. LCM of 9049,1480 is 13392520.
GCF of Denominators means GCF of 281,8756 as per the given fractions.
GCF of 281,8756 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9049,1480
Given numbers has no common factors except 1. So, there LCM is their product i.e 13392520
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 9049,1480 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9049,1480) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9049,1480) x common factors =1 x 1 = 1
LCM(9049,1480) = ( 9049 × 1480 ) / 1
LCM(9049,1480) = 13392520 / 1
LCM(9049,1480) = 13392520
Lets's calculate GCF of 281,8756
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13392520/1
Therefore the LCM of Fractions 9049/281,1480/8756 is 13392520
Factors of 281
List of positive integer factors of 281 that divides 281 without a remainder.
1,281
Factors of 8756
List of positive integer factors of 8756 that divides 8756 without a remainder.
1,2,4,11,22,44,199,398,796,2189,4378,8756
Greatest Common Factor
We found the factors 281,8756 . The biggest common factor number is the GCF number.
So the greatest common factor 281,8756 is 1.
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 9049/281, 1480/8756?
Answer: LCM of Numerators as per given numbers 9049/281, 1480/8756 is
LCM of Numerators i.e. for 9049,1480 is 13392520
GCF of denominators i.e. for 281,8756 is 1.
Thus, LCM of Fractions is 13392520.Finally, LCM of Fractions for 9049/281, 1480/8756 is 13392520.