Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 964/29, 3603/371 quickly i.e. 3473292 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 964/29, 3603/371 is 3473292.
LCM(964/29, 3603/371) = 3473292
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 964/29,3603/371
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 964,3603
Least Common Multiple of Numerators i.e. LCM of 964,3603 is 3473292.
GCF of Denominators means GCF of 29,371 as per the given fractions.
GCF of 29,371 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 964,3603
Given numbers has no common factors except 1. So, there LCM is their product i.e 3473292
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 964,3603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,3603) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(964,3603) x common factors =1 x 1 = 1
LCM(964,3603) = ( 964 × 3603 ) / 1
LCM(964,3603) = 3473292 / 1
LCM(964,3603) = 3473292
Lets's calculate GCF of 29,371
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3473292/1
Therefore the LCM of Fractions 964/29,3603/371 is 3473292
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Greatest Common Factor
We found the factors 29,371 . The biggest common factor number is the GCF number.
So the greatest common factor 29,371 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 964/29, 3603/371?
Answer: LCM of Numerators as per given numbers 964/29, 3603/371 is
LCM of Numerators i.e. for 964,3603 is 3473292
GCF of denominators i.e. for 29,371 is 1.
Thus, LCM of Fractions is 3473292.Finally, LCM of Fractions for 964/29, 3603/371 is 3473292.