Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3427/703, 5315/443 quickly i.e. 18214505 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3427/703, 5315/443 is 18214505.
LCM(3427/703, 5315/443) = 18214505
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3427/703,5315/443
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 3427,5315
Least Common Multiple of Numerators i.e. LCM of 3427,5315 is 18214505.
GCF of Denominators means GCF of 703,443 as per the given fractions.
GCF of 703,443 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3427,5315
Given numbers has no common factors except 1. So, there LCM is their product i.e 18214505
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 3427,5315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3427,5315) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3427,5315) x common factors =1 x 1 = 1
LCM(3427,5315) = ( 3427 × 5315 ) / 1
LCM(3427,5315) = 18214505 / 1
LCM(3427,5315) = 18214505
Lets's calculate GCF of 703,443
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18214505/1
Therefore the LCM of Fractions 3427/703,5315/443 is 18214505
Factors of 703
List of positive integer factors of 703 that divides 703 without a remainder.
1,19,37,703
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1,443
Greatest Common Factor
We found the factors 703,443 . The biggest common factor number is the GCF number.
So the greatest common factor 703,443 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 3427/703, 5315/443?
Answer: LCM of Numerators as per given numbers 3427/703, 5315/443 is
LCM of Numerators i.e. for 3427,5315 is 18214505
GCF of denominators i.e. for 703,443 is 1.
Thus, LCM of Fractions is 18214505.Finally, LCM of Fractions for 3427/703, 5315/443 is 18214505.