Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4382/999, 3069/7151 quickly i.e. 13448358 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4382/999, 3069/7151 is 13448358.
LCM(4382/999, 3069/7151) = 13448358
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4382/999,3069/7151
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 4382,3069
Least Common Multiple of Numerators i.e. LCM of 4382,3069 is 13448358.
GCF of Denominators means GCF of 999,7151 as per the given fractions.
GCF of 999,7151 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4382,3069
Given numbers has no common factors except 1. So, there LCM is their product i.e 13448358
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 4382,3069 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4382,3069) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4382,3069) x common factors =1 x 1 = 1
LCM(4382,3069) = ( 4382 × 3069 ) / 1
LCM(4382,3069) = 13448358 / 1
LCM(4382,3069) = 13448358
Lets's calculate GCF of 999,7151
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13448358/1
Therefore the LCM of Fractions 4382/999,3069/7151 is 13448358
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 7151
List of positive integer factors of 7151 that divides 7151 without a remainder.
1,7151
Greatest Common Factor
We found the factors 999,7151 . The biggest common factor number is the GCF number.
So the greatest common factor 999,7151 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 4382/999, 3069/7151?
Answer: LCM of Numerators as per given numbers 4382/999, 3069/7151 is
LCM of Numerators i.e. for 4382,3069 is 13448358
GCF of denominators i.e. for 999,7151 is 1.
Thus, LCM of Fractions is 13448358.Finally, LCM of Fractions for 4382/999, 3069/7151 is 13448358.