Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/25, 29/93, 61/90, 37/668 quickly i.e. 4778069 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/25, 29/93, 61/90, 37/668 is 4778069.
LCM(73/25, 29/93, 61/90, 37/668) = 4778069
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/25,29/93,61/90,37/668
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 73,29,61,37
Least Common Multiple of Numerators i.e. LCM of 73,29,61,37 is 4778069.
GCF of Denominators means GCF of 25,93,90,668 as per the given fractions.
GCF of 25,93,90,668 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,29,61,37
Given numbers has no common factors except 1. So, there LCM is their product i.e 4778069
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 73,29,61,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,29,61,37) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,29,61,37) x common factors =1 x 1 = 1
LCM(73,29,61,37) = ( 73 × 29 × 61 × 37 ) / 1
LCM(73,29,61,37) = 4778069 / 1
LCM(73,29,61,37) = 4778069
Lets's calculate GCF of 25,93,90,668
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4778069/1
Therefore the LCM of Fractions 73/25,29/93,61/90,37/668 is 4778069
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 93
List of positive integer factors of 93 that divides 93 without a remainder.
1,3,31,93
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 668
List of positive integer factors of 668 that divides 668 without a remainder.
1,2,4,167,334,668
Greatest Common Factor
We found the factors 25,93,90,668 . The biggest common factor number is the GCF number.
So the greatest common factor 25,93,90,668 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 73/25, 29/93, 61/90, 37/668?
Answer: LCM of Numerators as per given numbers 73/25, 29/93, 61/90, 37/668 is
LCM of Numerators i.e. for 73,29,61,37 is 4778069
GCF of denominators i.e. for 25,93,90,668 is 1.
Thus, LCM of Fractions is 4778069.Finally, LCM of Fractions for 73/25, 29/93, 61/90, 37/668 is 4778069.