Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1362/731, 3529/258 quickly i.e. 4806498/43 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1362/731, 3529/258 is 4806498/43.
LCM(1362/731, 3529/258) = 4806498/43
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1362/731,3529/258
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 1362,3529
Least Common Multiple of Numerators i.e. LCM of 1362,3529 is 4806498.
GCF of Denominators means GCF of 731,258 as per the given fractions.
GCF of 731,258 is 43 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1362,3529
Given numbers has no common factors except 1. So, there LCM is their product i.e 4806498
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 1362,3529 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1362,3529) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1362,3529) x common factors =1 x 1 = 1
LCM(1362,3529) = ( 1362 × 3529 ) / 1
LCM(1362,3529) = 4806498 / 1
LCM(1362,3529) = 4806498
Lets's calculate GCF of 731,258
43 | 731, 258 |
17, 6 |
∴ So the GCF of the given numbers is 43 = 43
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4806498/43
Therefore the LCM of Fractions 1362/731,3529/258 is 4806498/43
Factors of 731
List of positive integer factors of 731 that divides 731 without a remainder.
1,17,43,731
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 731,258 . The biggest common factor number is the GCF number.
So the greatest common factor 731,258 is 43.
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 1362/731, 3529/258?
Answer: LCM of Numerators as per given numbers 1362/731, 3529/258 is
LCM of Numerators i.e. for 1362,3529 is 4806498
GCF of denominators i.e. for 731,258 is 43.
Thus, LCM of Fractions is 4806498/43.Finally, LCM of Fractions for 1362/731, 3529/258 is 4806498/43.