Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 74/89, 220/48, 275/606 quickly i.e. 40700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 74/89, 220/48, 275/606 is 40700.
LCM(74/89, 220/48, 275/606) = 40700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 74/89,220/48,275/606
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 74,220,275
Least Common Multiple of Numerators i.e. LCM of 74,220,275 is 40700.
GCF of Denominators means GCF of 89,48,606 as per the given fractions.
GCF of 89,48,606 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 74,220,275
2 | 74, 220, 275 |
5 | 37, 110, 275 |
11 | 37, 22, 55 |
37, 2, 5 |
∴ So the LCM of the given numbers is 2 x 5 x 11 x 37 x 2 x 5 = 40700
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 74,220,275 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(74,220,275) = 1
common factors(in case of two or more numbers have common factors) = 110
GCF(74,220,275) x common factors =1 x 110 = 110
LCM(74,220,275) = ( 74 × 220 × 275 ) / 110
LCM(74,220,275) = 4477000 / 110
LCM(74,220,275) = 40700
Lets's calculate GCF of 89,48,606
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40700/1
Therefore the LCM of Fractions 74/89,220/48,275/606 is 40700
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 606
List of positive integer factors of 606 that divides 606 without a remainder.
1,2,3,6,101,202,303,606
Greatest Common Factor
We found the factors 89,48,606 . The biggest common factor number is the GCF number.
So the greatest common factor 89,48,606 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 74/89, 220/48, 275/606?
Answer: LCM of Numerators as per given numbers 74/89, 220/48, 275/606 is
LCM of Numerators i.e. for 74,220,275 is 40700
GCF of denominators i.e. for 89,48,606 is 1.
Thus, LCM of Fractions is 40700.Finally, LCM of Fractions for 74/89, 220/48, 275/606 is 40700.