Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7507/818, 7988/151 quickly i.e. 59965916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7507/818, 7988/151 is 59965916.
LCM(7507/818, 7988/151) = 59965916
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7507/818,7988/151
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 7507,7988
Least Common Multiple of Numerators i.e. LCM of 7507,7988 is 59965916.
GCF of Denominators means GCF of 818,151 as per the given fractions.
GCF of 818,151 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7507,7988
Given numbers has no common factors except 1. So, there LCM is their product i.e 59965916
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 7507,7988 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7507,7988) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7507,7988) x common factors =1 x 1 = 1
LCM(7507,7988) = ( 7507 × 7988 ) / 1
LCM(7507,7988) = 59965916 / 1
LCM(7507,7988) = 59965916
Lets's calculate GCF of 818,151
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 59965916/1
Therefore the LCM of Fractions 7507/818,7988/151 is 59965916
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Greatest Common Factor
We found the factors 818,151 . The biggest common factor number is the GCF number.
So the greatest common factor 818,151 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 7507/818, 7988/151?
Answer: LCM of Numerators as per given numbers 7507/818, 7988/151 is
LCM of Numerators i.e. for 7507,7988 is 59965916
GCF of denominators i.e. for 818,151 is 1.
Thus, LCM of Fractions is 59965916.Finally, LCM of Fractions for 7507/818, 7988/151 is 59965916.