Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8552/249, 8281/730 quickly i.e. 70819112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8552/249, 8281/730 is 70819112.
LCM(8552/249, 8281/730) = 70819112
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8552/249,8281/730
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 8552,8281
Least Common Multiple of Numerators i.e. LCM of 8552,8281 is 70819112.
GCF of Denominators means GCF of 249,730 as per the given fractions.
GCF of 249,730 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8552,8281
Given numbers has no common factors except 1. So, there LCM is their product i.e 70819112
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 8552,8281 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8552,8281) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8552,8281) x common factors =1 x 1 = 1
LCM(8552,8281) = ( 8552 × 8281 ) / 1
LCM(8552,8281) = 70819112 / 1
LCM(8552,8281) = 70819112
Lets's calculate GCF of 249,730
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70819112/1
Therefore the LCM of Fractions 8552/249,8281/730 is 70819112
Factors of 249
List of positive integer factors of 249 that divides 249 without a remainder.
1,3,83,249
Factors of 730
List of positive integer factors of 730 that divides 730 without a remainder.
1,2,5,10,73,146,365,730
Greatest Common Factor
We found the factors 249,730 . The biggest common factor number is the GCF number.
So the greatest common factor 249,730 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 8552/249, 8281/730?
Answer: LCM of Numerators as per given numbers 8552/249, 8281/730 is
LCM of Numerators i.e. for 8552,8281 is 70819112
GCF of denominators i.e. for 249,730 is 1.
Thus, LCM of Fractions is 70819112.Finally, LCM of Fractions for 8552/249, 8281/730 is 70819112.