Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 422/72, 264/3211 quickly i.e. 55704 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 422/72, 264/3211 is 55704.
LCM(422/72, 264/3211) = 55704
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 422/72,264/3211
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 422,264
Least Common Multiple of Numerators i.e. LCM of 422,264 is 55704.
GCF of Denominators means GCF of 72,3211 as per the given fractions.
GCF of 72,3211 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 422,264
2 | 422, 264 |
211, 132 |
∴ So the LCM of the given numbers is 2 x 211 x 132 = 55704
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 422,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(422,264) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(422,264) x common factors =2 x 1 = 2
LCM(422,264) = ( 422 × 264 ) / 2
LCM(422,264) = 111408 / 2
LCM(422,264) = 55704
Lets's calculate GCF of 72,3211
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55704/1
Therefore the LCM of Fractions 422/72,264/3211 is 55704
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 3211
List of positive integer factors of 3211 that divides 3211 without a remainder.
1,13,19,169,247,3211
Greatest Common Factor
We found the factors 72,3211 . The biggest common factor number is the GCF number.
So the greatest common factor 72,3211 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 422/72, 264/3211?
Answer: LCM of Numerators as per given numbers 422/72, 264/3211 is
LCM of Numerators i.e. for 422,264 is 55704
GCF of denominators i.e. for 72,3211 is 1.
Thus, LCM of Fractions is 55704.Finally, LCM of Fractions for 422/72, 264/3211 is 55704.