Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9/287, 67/749, 59/907 quickly i.e. 35577 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9/287, 67/749, 59/907 is 35577.
LCM(9/287, 67/749, 59/907) = 35577
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9/287,67/749,59/907
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 9,67,59
Least Common Multiple of Numerators i.e. LCM of 9,67,59 is 35577.
GCF of Denominators means GCF of 287,749,907 as per the given fractions.
GCF of 287,749,907 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9,67,59
Given numbers has no common factors except 1. So, there LCM is their product i.e 35577
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 9,67,59 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9,67,59) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9,67,59) x common factors =1 x 1 = 1
LCM(9,67,59) = ( 9 × 67 × 59 ) / 1
LCM(9,67,59) = 35577 / 1
LCM(9,67,59) = 35577
Lets's calculate GCF of 287,749,907
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35577/1
Therefore the LCM of Fractions 9/287,67/749,59/907 is 35577
Factors of 287
List of positive integer factors of 287 that divides 287 without a remainder.
1,7,41,287
Factors of 749
List of positive integer factors of 749 that divides 749 without a remainder.
1,7,107,749
Factors of 907
List of positive integer factors of 907 that divides 907 without a remainder.
1,907
Greatest Common Factor
We found the factors 287,749,907 . The biggest common factor number is the GCF number.
So the greatest common factor 287,749,907 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 9/287, 67/749, 59/907?
Answer: LCM of Numerators as per given numbers 9/287, 67/749, 59/907 is
LCM of Numerators i.e. for 9,67,59 is 35577
GCF of denominators i.e. for 287,749,907 is 1.
Thus, LCM of Fractions is 35577.Finally, LCM of Fractions for 9/287, 67/749, 59/907 is 35577.