Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/57, 44/72, 503/416 quickly i.e. 22132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/57, 44/72, 503/416 is 22132.
LCM(22/57, 44/72, 503/416) = 22132
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/57,44/72,503/416
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 22,44,503
Least Common Multiple of Numerators i.e. LCM of 22,44,503 is 22132.
GCF of Denominators means GCF of 57,72,416 as per the given fractions.
GCF of 57,72,416 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,44,503
2 | 22, 44, 503 |
11 | 11, 22, 503 |
1, 2, 503 |
∴ So the LCM of the given numbers is 2 x 11 x 1 x 2 x 503 = 22132
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 22,44,503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,44,503) = 1
common factors(in case of two or more numbers have common factors) = 22
GCF(22,44,503) x common factors =1 x 22 = 22
LCM(22,44,503) = ( 22 × 44 × 503 ) / 22
LCM(22,44,503) = 486904 / 22
LCM(22,44,503) = 22132
Lets's calculate GCF of 57,72,416
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22132/1
Therefore the LCM of Fractions 22/57,44/72,503/416 is 22132
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
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 416
List of positive integer factors of 416 that divides 416 without a remainder.
1,2,4,8,13,16,26,32,52,104,208,416
Greatest Common Factor
We found the factors 57,72,416 . The biggest common factor number is the GCF number.
So the greatest common factor 57,72,416 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 22/57, 44/72, 503/416?
Answer: LCM of Numerators as per given numbers 22/57, 44/72, 503/416 is
LCM of Numerators i.e. for 22,44,503 is 22132
GCF of denominators i.e. for 57,72,416 is 1.
Thus, LCM of Fractions is 22132.Finally, LCM of Fractions for 22/57, 44/72, 503/416 is 22132.