Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 618/865, 767/661 quickly i.e. 474006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 618/865, 767/661 is 474006.
LCM(618/865, 767/661) = 474006
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 618/865,767/661
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 618,767
Least Common Multiple of Numerators i.e. LCM of 618,767 is 474006.
GCF of Denominators means GCF of 865,661 as per the given fractions.
GCF of 865,661 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 618,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 474006
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 618,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(618,767) x common factors =1 x 1 = 1
LCM(618,767) = ( 618 × 767 ) / 1
LCM(618,767) = 474006 / 1
LCM(618,767) = 474006
Lets's calculate GCF of 865,661
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 474006/1
Therefore the LCM of Fractions 618/865,767/661 is 474006
Factors of 865
List of positive integer factors of 865 that divides 865 without a remainder.
1,5,173,865
Factors of 661
List of positive integer factors of 661 that divides 661 without a remainder.
1,661
Greatest Common Factor
We found the factors 865,661 . The biggest common factor number is the GCF number.
So the greatest common factor 865,661 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 618/865, 767/661?
Answer: LCM of Numerators as per given numbers 618/865, 767/661 is
LCM of Numerators i.e. for 618,767 is 474006
GCF of denominators i.e. for 865,661 is 1.
Thus, LCM of Fractions is 474006.Finally, LCM of Fractions for 618/865, 767/661 is 474006.