Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8437/509, 5155/373 quickly i.e. 43492735 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8437/509, 5155/373 is 43492735.
LCM(8437/509, 5155/373) = 43492735
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8437/509,5155/373
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 8437,5155
Least Common Multiple of Numerators i.e. LCM of 8437,5155 is 43492735.
GCF of Denominators means GCF of 509,373 as per the given fractions.
GCF of 509,373 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8437,5155
Given numbers has no common factors except 1. So, there LCM is their product i.e 43492735
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 8437,5155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8437,5155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8437,5155) x common factors =1 x 1 = 1
LCM(8437,5155) = ( 8437 × 5155 ) / 1
LCM(8437,5155) = 43492735 / 1
LCM(8437,5155) = 43492735
Lets's calculate GCF of 509,373
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43492735/1
Therefore the LCM of Fractions 8437/509,5155/373 is 43492735
Factors of 509
List of positive integer factors of 509 that divides 509 without a remainder.
1,509
Factors of 373
List of positive integer factors of 373 that divides 373 without a remainder.
1,373
Greatest Common Factor
We found the factors 509,373 . The biggest common factor number is the GCF number.
So the greatest common factor 509,373 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 8437/509, 5155/373?
Answer: LCM of Numerators as per given numbers 8437/509, 5155/373 is
LCM of Numerators i.e. for 8437,5155 is 43492735
GCF of denominators i.e. for 509,373 is 1.
Thus, LCM of Fractions is 43492735.Finally, LCM of Fractions for 8437/509, 5155/373 is 43492735.