Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 286/685, 1607/653 quickly i.e. 459602 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 286/685, 1607/653 is 459602.
LCM(286/685, 1607/653) = 459602
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 286/685,1607/653
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 286,1607
Least Common Multiple of Numerators i.e. LCM of 286,1607 is 459602.
GCF of Denominators means GCF of 685,653 as per the given fractions.
GCF of 685,653 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 286,1607
Given numbers has no common factors except 1. So, there LCM is their product i.e 459602
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 286,1607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(286,1607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(286,1607) x common factors =1 x 1 = 1
LCM(286,1607) = ( 286 × 1607 ) / 1
LCM(286,1607) = 459602 / 1
LCM(286,1607) = 459602
Lets's calculate GCF of 685,653
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 459602/1
Therefore the LCM of Fractions 286/685,1607/653 is 459602
Factors of 685
List of positive integer factors of 685 that divides 685 without a remainder.
1,5,137,685
Factors of 653
List of positive integer factors of 653 that divides 653 without a remainder.
1,653
Greatest Common Factor
We found the factors 685,653 . The biggest common factor number is the GCF number.
So the greatest common factor 685,653 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 286/685, 1607/653?
Answer: LCM of Numerators as per given numbers 286/685, 1607/653 is
LCM of Numerators i.e. for 286,1607 is 459602
GCF of denominators i.e. for 685,653 is 1.
Thus, LCM of Fractions is 459602.Finally, LCM of Fractions for 286/685, 1607/653 is 459602.