Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 685/862, 9762/3653 quickly i.e. 6686970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 685/862, 9762/3653 is 6686970.
LCM(685/862, 9762/3653) = 6686970
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 685/862,9762/3653
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 685,9762
Least Common Multiple of Numerators i.e. LCM of 685,9762 is 6686970.
GCF of Denominators means GCF of 862,3653 as per the given fractions.
GCF of 862,3653 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 685,9762
Given numbers has no common factors except 1. So, there LCM is their product i.e 6686970
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 685,9762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,9762) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,9762) x common factors =1 x 1 = 1
LCM(685,9762) = ( 685 × 9762 ) / 1
LCM(685,9762) = 6686970 / 1
LCM(685,9762) = 6686970
Lets's calculate GCF of 862,3653
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6686970/1
Therefore the LCM of Fractions 685/862,9762/3653 is 6686970
Factors of 862
List of positive integer factors of 862 that divides 862 without a remainder.
1,2,431,862
Factors of 3653
List of positive integer factors of 3653 that divides 3653 without a remainder.
1,13,281,3653
Greatest Common Factor
We found the factors 862,3653 . The biggest common factor number is the GCF number.
So the greatest common factor 862,3653 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 685/862, 9762/3653?
Answer: LCM of Numerators as per given numbers 685/862, 9762/3653 is
LCM of Numerators i.e. for 685,9762 is 6686970
GCF of denominators i.e. for 862,3653 is 1.
Thus, LCM of Fractions is 6686970.Finally, LCM of Fractions for 685/862, 9762/3653 is 6686970.