Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 297/21, 276/36, 384/909 quickly i.e. 291456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 297/21, 276/36, 384/909 is 291456.
LCM(297/21, 276/36, 384/909) = 291456
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 297/21,276/36,384/909
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 297,276,384
Least Common Multiple of Numerators i.e. LCM of 297,276,384 is 874368.
GCF of Denominators means GCF of 21,36,909 as per the given fractions.
GCF of 21,36,909 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 297,276,384
2 | 297, 276, 384 |
2 | 297, 138, 192 |
3 | 297, 69, 96 |
99, 23, 32 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 99 x 23 x 32 = 874368
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 297,276,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,276,384) = 3
common factors(in case of two or more numbers have common factors) = 12
GCF(297,276,384) x common factors =3 x 12 = 36
LCM(297,276,384) = ( 297 × 276 × 384 ) / 36
LCM(297,276,384) = 31477248 / 36
LCM(297,276,384) = 874368
Lets's calculate GCF of 21,36,909
3 | 21, 36, 909 |
7, 12, 303 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 874368/3
Therefore the LCM of Fractions 297/21,276/36,384/909 is 291456
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 909
List of positive integer factors of 909 that divides 909 without a remainder.
1,3,9,101,303,909
Greatest Common Factor
We found the factors 21,36,909 . The biggest common factor number is the GCF number.
So the greatest common factor 21,36,909 is 3.
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 297/21, 276/36, 384/909?
Answer: LCM of Numerators as per given numbers 297/21, 276/36, 384/909 is
LCM of Numerators i.e. for 297,276,384 is 874368
GCF of denominators i.e. for 21,36,909 is 3.
Thus, LCM of Fractions is 291456.Finally, LCM of Fractions for 297/21, 276/36, 384/909 is 291456.