Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/17, 1/77, 18/14, 58/453 quickly i.e. 522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/17, 1/77, 18/14, 58/453 is 522.
LCM(1/17, 1/77, 18/14, 58/453) = 522
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/17,1/77,18/14,58/453
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 1,1,18,58
Least Common Multiple of Numerators i.e. LCM of 1,1,18,58 is 522.
GCF of Denominators means GCF of 17,77,14,453 as per the given fractions.
GCF of 17,77,14,453 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,1,18,58
2 | 1, 1, 18, 58 |
1, 1, 9, 29 |
∴ So the LCM of the given numbers is 2 x 1 x 1 x 9 x 29 = 522
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 1,1,18,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,1,18,58) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(1,1,18,58) x common factors =1 x 2 = 2
LCM(1,1,18,58) = ( 1 × 1 × 18 × 58 ) / 2
LCM(1,1,18,58) = 1044 / 2
LCM(1,1,18,58) = 522
Lets's calculate GCF of 17,77,14,453
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 522/1
Therefore the LCM of Fractions 1/17,1/77,18/14,58/453 is 522
Factors of 17
List of positive integer factors of 17 that divides 17 without a remainder.
1,17
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 453
List of positive integer factors of 453 that divides 453 without a remainder.
1,3,151,453
Greatest Common Factor
We found the factors 17,77,14,453 . The biggest common factor number is the GCF number.
So the greatest common factor 17,77,14,453 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 1/17, 1/77, 18/14, 58/453?
Answer: LCM of Numerators as per given numbers 1/17, 1/77, 18/14, 58/453 is
LCM of Numerators i.e. for 1,1,18,58 is 522
GCF of denominators i.e. for 17,77,14,453 is 1.
Thus, LCM of Fractions is 522.Finally, LCM of Fractions for 1/17, 1/77, 18/14, 58/453 is 522.