Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4/52, 7/58, 27/38, 19/452 quickly i.e. 7182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4/52, 7/58, 27/38, 19/452 is 7182.
LCM(4/52, 7/58, 27/38, 19/452) = 7182
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4/52,7/58,27/38,19/452
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 4,7,27,19
Least Common Multiple of Numerators i.e. LCM of 4,7,27,19 is 14364.
GCF of Denominators means GCF of 52,58,38,452 as per the given fractions.
GCF of 52,58,38,452 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4,7,27,19
Given numbers has no common factors except 1. So, there LCM is their product i.e 14364
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 4,7,27,19 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4,7,27,19) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4,7,27,19) x common factors =1 x 1 = 1
LCM(4,7,27,19) = ( 4 × 7 × 27 × 19 ) / 1
LCM(4,7,27,19) = 14364 / 1
LCM(4,7,27,19) = 14364
Lets's calculate GCF of 52,58,38,452
2 | 52, 58, 38, 452 |
26, 29, 19, 226 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14364/2
Therefore the LCM of Fractions 4/52,7/58,27/38,19/452 is 7182
Factors of 52
List of positive integer factors of 52 that divides 52 without a remainder.
1,2,4,13,26,52
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 452
List of positive integer factors of 452 that divides 452 without a remainder.
1,2,4,113,226,452
Greatest Common Factor
We found the factors 52,58,38,452 . The biggest common factor number is the GCF number.
So the greatest common factor 52,58,38,452 is 2.
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 4/52, 7/58, 27/38, 19/452?
Answer: LCM of Numerators as per given numbers 4/52, 7/58, 27/38, 19/452 is
LCM of Numerators i.e. for 4,7,27,19 is 14364
GCF of denominators i.e. for 52,58,38,452 is 2.
Thus, LCM of Fractions is 7182.Finally, LCM of Fractions for 4/52, 7/58, 27/38, 19/452 is 7182.