Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/419, 6522/2179 quickly i.e. 71742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/419, 6522/2179 is 71742.
LCM(22/419, 6522/2179) = 71742
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/419,6522/2179
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 22,6522
Least Common Multiple of Numerators i.e. LCM of 22,6522 is 71742.
GCF of Denominators means GCF of 419,2179 as per the given fractions.
GCF of 419,2179 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,6522
2 | 22, 6522 |
11, 3261 |
∴ So the LCM of the given numbers is 2 x 11 x 3261 = 71742
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 22,6522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,6522) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(22,6522) x common factors =2 x 1 = 2
LCM(22,6522) = ( 22 × 6522 ) / 2
LCM(22,6522) = 143484 / 2
LCM(22,6522) = 71742
Lets's calculate GCF of 419,2179
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71742/1
Therefore the LCM of Fractions 22/419,6522/2179 is 71742
Factors of 419
List of positive integer factors of 419 that divides 419 without a remainder.
1,419
Factors of 2179
List of positive integer factors of 2179 that divides 2179 without a remainder.
1,2179
Greatest Common Factor
We found the factors 419,2179 . The biggest common factor number is the GCF number.
So the greatest common factor 419,2179 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 22/419, 6522/2179?
Answer: LCM of Numerators as per given numbers 22/419, 6522/2179 is
LCM of Numerators i.e. for 22,6522 is 71742
GCF of denominators i.e. for 419,2179 is 1.
Thus, LCM of Fractions is 71742.Finally, LCM of Fractions for 22/419, 6522/2179 is 71742.