Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/45, 1/35, 73/28, 37/648 quickly i.e. 5402 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/45, 1/35, 73/28, 37/648 is 5402.
LCM(2/45, 1/35, 73/28, 37/648) = 5402
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/45,1/35,73/28,37/648
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 2,1,73,37
Least Common Multiple of Numerators i.e. LCM of 2,1,73,37 is 5402.
GCF of Denominators means GCF of 45,35,28,648 as per the given fractions.
GCF of 45,35,28,648 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,1,73,37
Given numbers has no common factors except 1. So, there LCM is their product i.e 5402
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 2,1,73,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,1,73,37) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2,1,73,37) x common factors =1 x 1 = 1
LCM(2,1,73,37) = ( 2 × 1 × 73 × 37 ) / 1
LCM(2,1,73,37) = 5402 / 1
LCM(2,1,73,37) = 5402
Lets's calculate GCF of 45,35,28,648
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5402/1
Therefore the LCM of Fractions 2/45,1/35,73/28,37/648 is 5402
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 35
List of positive integer factors of 35 that divides 35 without a remainder.
1,5,7,35
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 648
List of positive integer factors of 648 that divides 648 without a remainder.
1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648
Greatest Common Factor
We found the factors 45,35,28,648 . The biggest common factor number is the GCF number.
So the greatest common factor 45,35,28,648 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 2/45, 1/35, 73/28, 37/648?
Answer: LCM of Numerators as per given numbers 2/45, 1/35, 73/28, 37/648 is
LCM of Numerators i.e. for 2,1,73,37 is 5402
GCF of denominators i.e. for 45,35,28,648 is 1.
Thus, LCM of Fractions is 5402.Finally, LCM of Fractions for 2/45, 1/35, 73/28, 37/648 is 5402.