Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 601/45, 313/10, 640/267 quickly i.e. 120392320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 601/45, 313/10, 640/267 is 120392320.
LCM(601/45, 313/10, 640/267) = 120392320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 601/45,313/10,640/267
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 601,313,640
Least Common Multiple of Numerators i.e. LCM of 601,313,640 is 120392320.
GCF of Denominators means GCF of 45,10,267 as per the given fractions.
GCF of 45,10,267 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 601,313,640
Given numbers has no common factors except 1. So, there LCM is their product i.e 120392320
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 601,313,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(601,313,640) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(601,313,640) x common factors =1 x 1 = 1
LCM(601,313,640) = ( 601 × 313 × 640 ) / 1
LCM(601,313,640) = 120392320 / 1
LCM(601,313,640) = 120392320
Lets's calculate GCF of 45,10,267
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120392320/1
Therefore the LCM of Fractions 601/45,313/10,640/267 is 120392320
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Greatest Common Factor
We found the factors 45,10,267 . The biggest common factor number is the GCF number.
So the greatest common factor 45,10,267 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 601/45, 313/10, 640/267?
Answer: LCM of Numerators as per given numbers 601/45, 313/10, 640/267 is
LCM of Numerators i.e. for 601,313,640 is 120392320
GCF of denominators i.e. for 45,10,267 is 1.
Thus, LCM of Fractions is 120392320.Finally, LCM of Fractions for 601/45, 313/10, 640/267 is 120392320.