Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 741/67, 289/45, 533/970 quickly i.e. 8780109 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 741/67, 289/45, 533/970 is 8780109.
LCM(741/67, 289/45, 533/970) = 8780109
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 741/67,289/45,533/970
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 741,289,533
Least Common Multiple of Numerators i.e. LCM of 741,289,533 is 8780109.
GCF of Denominators means GCF of 67,45,970 as per the given fractions.
GCF of 67,45,970 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 741,289,533
13 | 741, 289, 533 |
57, 289, 41 |
∴ So the LCM of the given numbers is 13 x 57 x 289 x 41 = 8780109
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 741,289,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(741,289,533) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(741,289,533) x common factors =1 x 13 = 13
LCM(741,289,533) = ( 741 × 289 × 533 ) / 13
LCM(741,289,533) = 114141417 / 13
LCM(741,289,533) = 8780109
Lets's calculate GCF of 67,45,970
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8780109/1
Therefore the LCM of Fractions 741/67,289/45,533/970 is 8780109
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 970
List of positive integer factors of 970 that divides 970 without a remainder.
1,2,5,10,97,194,485,970
Greatest Common Factor
We found the factors 67,45,970 . The biggest common factor number is the GCF number.
So the greatest common factor 67,45,970 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 741/67, 289/45, 533/970?
Answer: LCM of Numerators as per given numbers 741/67, 289/45, 533/970 is
LCM of Numerators i.e. for 741,289,533 is 8780109
GCF of denominators i.e. for 67,45,970 is 1.
Thus, LCM of Fractions is 8780109.Finally, LCM of Fractions for 741/67, 289/45, 533/970 is 8780109.