Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 37/32, 712/45, 787/493 quickly i.e. 20732728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 37/32, 712/45, 787/493 is 20732728.
LCM(37/32, 712/45, 787/493) = 20732728
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 37/32,712/45,787/493
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 37,712,787
Least Common Multiple of Numerators i.e. LCM of 37,712,787 is 20732728.
GCF of Denominators means GCF of 32,45,493 as per the given fractions.
GCF of 32,45,493 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 37,712,787
Given numbers has no common factors except 1. So, there LCM is their product i.e 20732728
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 37,712,787 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(37,712,787) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(37,712,787) x common factors =1 x 1 = 1
LCM(37,712,787) = ( 37 × 712 × 787 ) / 1
LCM(37,712,787) = 20732728 / 1
LCM(37,712,787) = 20732728
Lets's calculate GCF of 32,45,493
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20732728/1
Therefore the LCM of Fractions 37/32,712/45,787/493 is 20732728
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1,17,29,493
Greatest Common Factor
We found the factors 32,45,493 . The biggest common factor number is the GCF number.
So the greatest common factor 32,45,493 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 37/32, 712/45, 787/493?
Answer: LCM of Numerators as per given numbers 37/32, 712/45, 787/493 is
LCM of Numerators i.e. for 37,712,787 is 20732728
GCF of denominators i.e. for 32,45,493 is 1.
Thus, LCM of Fractions is 20732728.Finally, LCM of Fractions for 37/32, 712/45, 787/493 is 20732728.