Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 646/486, 977/283 quickly i.e. 631142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 646/486, 977/283 is 631142.
LCM(646/486, 977/283) = 631142
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 646/486,977/283
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 646,977
Least Common Multiple of Numerators i.e. LCM of 646,977 is 631142.
GCF of Denominators means GCF of 486,283 as per the given fractions.
GCF of 486,283 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 646,977
Given numbers has no common factors except 1. So, there LCM is their product i.e 631142
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 646,977 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(646,977) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(646,977) x common factors =1 x 1 = 1
LCM(646,977) = ( 646 × 977 ) / 1
LCM(646,977) = 631142 / 1
LCM(646,977) = 631142
Lets's calculate GCF of 486,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 631142/1
Therefore the LCM of Fractions 646/486,977/283 is 631142
Factors of 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Greatest Common Factor
We found the factors 486,283 . The biggest common factor number is the GCF number.
So the greatest common factor 486,283 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 646/486, 977/283?
Answer: LCM of Numerators as per given numbers 646/486, 977/283 is
LCM of Numerators i.e. for 646,977 is 631142
GCF of denominators i.e. for 486,283 is 1.
Thus, LCM of Fractions is 631142.Finally, LCM of Fractions for 646/486, 977/283 is 631142.