Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3297/896, 2961/8787 quickly i.e. 464877 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3297/896, 2961/8787 is 464877.
LCM(3297/896, 2961/8787) = 464877
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3297/896,2961/8787
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 3297,2961
Least Common Multiple of Numerators i.e. LCM of 3297,2961 is 464877.
GCF of Denominators means GCF of 896,8787 as per the given fractions.
GCF of 896,8787 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3297,2961
3 | 3297, 2961 |
7 | 1099, 987 |
157, 141 |
∴ So the LCM of the given numbers is 3 x 7 x 157 x 141 = 464877
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 3297,2961 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3297,2961) = 21
common factors(in case of two or more numbers have common factors) = 1
GCF(3297,2961) x common factors =21 x 1 = 21
LCM(3297,2961) = ( 3297 × 2961 ) / 21
LCM(3297,2961) = 9762417 / 21
LCM(3297,2961) = 464877
Lets's calculate GCF of 896,8787
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 464877/1
Therefore the LCM of Fractions 3297/896,2961/8787 is 464877
Factors of 896
List of positive integer factors of 896 that divides 896 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Factors of 8787
List of positive integer factors of 8787 that divides 8787 without a remainder.
1,3,29,87,101,303,2929,8787
Greatest Common Factor
We found the factors 896,8787 . The biggest common factor number is the GCF number.
So the greatest common factor 896,8787 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 3297/896, 2961/8787?
Answer: LCM of Numerators as per given numbers 3297/896, 2961/8787 is
LCM of Numerators i.e. for 3297,2961 is 464877
GCF of denominators i.e. for 896,8787 is 1.
Thus, LCM of Fractions is 464877.Finally, LCM of Fractions for 3297/896, 2961/8787 is 464877.