Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 46/803, 6801/8662 quickly i.e. 312846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 46/803, 6801/8662 is 312846.
LCM(46/803, 6801/8662) = 312846
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 46/803,6801/8662
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 46,6801
Least Common Multiple of Numerators i.e. LCM of 46,6801 is 312846.
GCF of Denominators means GCF of 803,8662 as per the given fractions.
GCF of 803,8662 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 46,6801
Given numbers has no common factors except 1. So, there LCM is their product i.e 312846
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 46,6801 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(46,6801) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(46,6801) x common factors =1 x 1 = 1
LCM(46,6801) = ( 46 × 6801 ) / 1
LCM(46,6801) = 312846 / 1
LCM(46,6801) = 312846
Lets's calculate GCF of 803,8662
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 312846/1
Therefore the LCM of Fractions 46/803,6801/8662 is 312846
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Factors of 8662
List of positive integer factors of 8662 that divides 8662 without a remainder.
1,2,61,71,122,142,4331,8662
Greatest Common Factor
We found the factors 803,8662 . The biggest common factor number is the GCF number.
So the greatest common factor 803,8662 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 46/803, 6801/8662?
Answer: LCM of Numerators as per given numbers 46/803, 6801/8662 is
LCM of Numerators i.e. for 46,6801 is 312846
GCF of denominators i.e. for 803,8662 is 1.
Thus, LCM of Fractions is 312846.Finally, LCM of Fractions for 46/803, 6801/8662 is 312846.