Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/703, 91/702, 513/759 quickly i.e. 1727271 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/703, 91/702, 513/759 is 1727271.
LCM(37/703, 91/702, 513/759) = 1727271
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/703,91/702,513/759
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 37,91,513
Least Common Multiple of Numerators i.e. LCM of 37,91,513 is 1727271.
GCF of Denominators means GCF of 703,702,759 as per the given fractions.
GCF of 703,702,759 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,91,513
Given numbers has no common factors except 1. So, there LCM is their product i.e 1727271
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 37,91,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,91,513) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,91,513) x common factors =1 x 1 = 1
LCM(37,91,513) = ( 37 × 91 × 513 ) / 1
LCM(37,91,513) = 1727271 / 1
LCM(37,91,513) = 1727271
Lets's calculate GCF of 703,702,759
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1727271/1
Therefore the LCM of Fractions 37/703,91/702,513/759 is 1727271
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Factors of 702
List of positive integer factors of 702 that divides 702 without a remainder.
1,2,3,6,9,13,18,26,27,39,54,78,117,234,351,702
Factors of 759
List of positive integer factors of 759 that divides 759 without a remainder.
1,3,11,23,33,69,253,759
Greatest Common Factor
We found the factors 703,702,759 . The biggest common factor number is the GCF number.
So the greatest common factor 703,702,759 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 37/703, 91/702, 513/759?
Answer: LCM of Numerators as per given numbers 37/703, 91/702, 513/759 is
LCM of Numerators i.e. for 37,91,513 is 1727271
GCF of denominators i.e. for 703,702,759 is 1.
Thus, LCM of Fractions is 1727271.Finally, LCM of Fractions for 37/703, 91/702, 513/759 is 1727271.