Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 33/898, 63/953, 951/269 quickly i.e. 219681 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 33/898, 63/953, 951/269 is 219681.
LCM(33/898, 63/953, 951/269) = 219681
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 33/898,63/953,951/269
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 33,63,951
Least Common Multiple of Numerators i.e. LCM of 33,63,951 is 219681.
GCF of Denominators means GCF of 898,953,269 as per the given fractions.
GCF of 898,953,269 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 33,63,951
3 | 33, 63, 951 |
11, 21, 317 |
∴ So the LCM of the given numbers is 3 x 11 x 21 x 317 = 219681
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 33,63,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(33,63,951) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(33,63,951) x common factors =3 x 3 = 9
LCM(33,63,951) = ( 33 × 63 × 951 ) / 9
LCM(33,63,951) = 1977129 / 9
LCM(33,63,951) = 219681
Lets's calculate GCF of 898,953,269
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 219681/1
Therefore the LCM of Fractions 33/898,63/953,951/269 is 219681
Factors of 898
List of positive integer factors of 898 that divides 898 without a remainder.
1,2,449,898
Factors of 953
List of positive integer factors of 953 that divides 953 without a remainder.
1,953
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Greatest Common Factor
We found the factors 898,953,269 . The biggest common factor number is the GCF number.
So the greatest common factor 898,953,269 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 33/898, 63/953, 951/269?
Answer: LCM of Numerators as per given numbers 33/898, 63/953, 951/269 is
LCM of Numerators i.e. for 33,63,951 is 219681
GCF of denominators i.e. for 898,953,269 is 1.
Thus, LCM of Fractions is 219681.Finally, LCM of Fractions for 33/898, 63/953, 951/269 is 219681.