Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5153/174, 1694/482 quickly i.e. 4364591 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5153/174, 1694/482 is 4364591.
LCM(5153/174, 1694/482) = 4364591
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5153/174,1694/482
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 5153,1694
Least Common Multiple of Numerators i.e. LCM of 5153,1694 is 8729182.
GCF of Denominators means GCF of 174,482 as per the given fractions.
GCF of 174,482 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5153,1694
Given numbers has no common factors except 1. So, there LCM is their product i.e 8729182
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 5153,1694 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5153,1694) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5153,1694) x common factors =1 x 1 = 1
LCM(5153,1694) = ( 5153 × 1694 ) / 1
LCM(5153,1694) = 8729182 / 1
LCM(5153,1694) = 8729182
Lets's calculate GCF of 174,482
2 | 174, 482 |
87, 241 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8729182/2
Therefore the LCM of Fractions 5153/174,1694/482 is 4364591
Factors of 174
List of positive integer factors of 174 that divides 174 without a remainder.
1,2,3,6,29,58,87,174
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1,2,241,482
Greatest Common Factor
We found the factors 174,482 . The biggest common factor number is the GCF number.
So the greatest common factor 174,482 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 5153/174, 1694/482?
Answer: LCM of Numerators as per given numbers 5153/174, 1694/482 is
LCM of Numerators i.e. for 5153,1694 is 8729182
GCF of denominators i.e. for 174,482 is 2.
Thus, LCM of Fractions is 4364591.Finally, LCM of Fractions for 5153/174, 1694/482 is 4364591.