Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 77/423, 4691/6818 quickly i.e. 361207 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 77/423, 4691/6818 is 361207.
LCM(77/423, 4691/6818) = 361207
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 77/423,4691/6818
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 77,4691
Least Common Multiple of Numerators i.e. LCM of 77,4691 is 361207.
GCF of Denominators means GCF of 423,6818 as per the given fractions.
GCF of 423,6818 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 77,4691
Given numbers has no common factors except 1. So, there LCM is their product i.e 361207
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 77,4691 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,4691) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,4691) x common factors =1 x 1 = 1
LCM(77,4691) = ( 77 × 4691 ) / 1
LCM(77,4691) = 361207 / 1
LCM(77,4691) = 361207
Lets's calculate GCF of 423,6818
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 361207/1
Therefore the LCM of Fractions 77/423,4691/6818 is 361207
Factors of 423
List of positive integer factors of 423 that divides 423 without a remainder.
1,3,9,47,141,423
Factors of 6818
List of positive integer factors of 6818 that divides 6818 without a remainder.
1,2,7,14,487,974,3409,6818
Greatest Common Factor
We found the factors 423,6818 . The biggest common factor number is the GCF number.
So the greatest common factor 423,6818 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 77/423, 4691/6818?
Answer: LCM of Numerators as per given numbers 77/423, 4691/6818 is
LCM of Numerators i.e. for 77,4691 is 361207
GCF of denominators i.e. for 423,6818 is 1.
Thus, LCM of Fractions is 361207.Finally, LCM of Fractions for 77/423, 4691/6818 is 361207.