Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 757/75, 647/8816 quickly i.e. 489779 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 757/75, 647/8816 is 489779.
LCM(757/75, 647/8816) = 489779
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 757/75,647/8816
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 757,647
Least Common Multiple of Numerators i.e. LCM of 757,647 is 489779.
GCF of Denominators means GCF of 75,8816 as per the given fractions.
GCF of 75,8816 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 757,647
Given numbers has no common factors except 1. So, there LCM is their product i.e 489779
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 757,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,647) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,647) x common factors =1 x 1 = 1
LCM(757,647) = ( 757 × 647 ) / 1
LCM(757,647) = 489779 / 1
LCM(757,647) = 489779
Lets's calculate GCF of 75,8816
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 489779/1
Therefore the LCM of Fractions 757/75,647/8816 is 489779
Factors of 75
List of positive integer factors of 75 that divides 75 without a remainder.
1,3,5,15,25,75
Factors of 8816
List of positive integer factors of 8816 that divides 8816 without a remainder.
1,2,4,8,16,19,29,38,58,76,116,152,232,304,464,551,1102,2204,4408,8816
Greatest Common Factor
We found the factors 75,8816 . The biggest common factor number is the GCF number.
So the greatest common factor 75,8816 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 757/75, 647/8816?
Answer: LCM of Numerators as per given numbers 757/75, 647/8816 is
LCM of Numerators i.e. for 757,647 is 489779
GCF of denominators i.e. for 75,8816 is 1.
Thus, LCM of Fractions is 489779.Finally, LCM of Fractions for 757/75, 647/8816 is 489779.