Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 362/999, 1029/538 quickly i.e. 372498 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 362/999, 1029/538 is 372498.
LCM(362/999, 1029/538) = 372498
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 362/999,1029/538
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 362,1029
Least Common Multiple of Numerators i.e. LCM of 362,1029 is 372498.
GCF of Denominators means GCF of 999,538 as per the given fractions.
GCF of 999,538 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 362,1029
Given numbers has no common factors except 1. So, there LCM is their product i.e 372498
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 362,1029 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,1029) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(362,1029) x common factors =1 x 1 = 1
LCM(362,1029) = ( 362 × 1029 ) / 1
LCM(362,1029) = 372498 / 1
LCM(362,1029) = 372498
Lets's calculate GCF of 999,538
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 372498/1
Therefore the LCM of Fractions 362/999,1029/538 is 372498
Factors of 999
List of positive integer factors of 999 that divides 999 without a remainder.
1,3,9,27,37,111,333,999
Factors of 538
List of positive integer factors of 538 that divides 538 without a remainder.
1,2,269,538
Greatest Common Factor
We found the factors 999,538 . The biggest common factor number is the GCF number.
So the greatest common factor 999,538 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 362/999, 1029/538?
Answer: LCM of Numerators as per given numbers 362/999, 1029/538 is
LCM of Numerators i.e. for 362,1029 is 372498
GCF of denominators i.e. for 999,538 is 1.
Thus, LCM of Fractions is 372498.Finally, LCM of Fractions for 362/999, 1029/538 is 372498.