Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 964/299, 3675/801 quickly i.e. 3542700 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 964/299, 3675/801 is 3542700.
LCM(964/299, 3675/801) = 3542700
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 964/299,3675/801
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 964,3675
Least Common Multiple of Numerators i.e. LCM of 964,3675 is 3542700.
GCF of Denominators means GCF of 299,801 as per the given fractions.
GCF of 299,801 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 964,3675
Given numbers has no common factors except 1. So, there LCM is their product i.e 3542700
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 964,3675 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(964,3675) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(964,3675) x common factors =1 x 1 = 1
LCM(964,3675) = ( 964 × 3675 ) / 1
LCM(964,3675) = 3542700 / 1
LCM(964,3675) = 3542700
Lets's calculate GCF of 299,801
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3542700/1
Therefore the LCM of Fractions 964/299,3675/801 is 3542700
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 801
List of positive integer factors of 801 that divides 801 without a remainder.
1,3,9,89,267,801
Greatest Common Factor
We found the factors 299,801 . The biggest common factor number is the GCF number.
So the greatest common factor 299,801 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 964/299, 3675/801?
Answer: LCM of Numerators as per given numbers 964/299, 3675/801 is
LCM of Numerators i.e. for 964,3675 is 3542700
GCF of denominators i.e. for 299,801 is 1.
Thus, LCM of Fractions is 3542700.Finally, LCM of Fractions for 964/299, 3675/801 is 3542700.