Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 333/63, 272/97, 924/544 quickly i.e. 6974352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 333/63, 272/97, 924/544 is 6974352.
LCM(333/63, 272/97, 924/544) = 6974352
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 333/63,272/97,924/544
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 333,272,924
Least Common Multiple of Numerators i.e. LCM of 333,272,924 is 6974352.
GCF of Denominators means GCF of 63,97,544 as per the given fractions.
GCF of 63,97,544 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 333,272,924
2 | 333, 272, 924 |
2 | 333, 136, 462 |
3 | 333, 68, 231 |
111, 68, 77 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 111 x 68 x 77 = 6974352
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 333,272,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(333,272,924) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(333,272,924) x common factors =1 x 12 = 12
LCM(333,272,924) = ( 333 × 272 × 924 ) / 12
LCM(333,272,924) = 83692224 / 12
LCM(333,272,924) = 6974352
Lets's calculate GCF of 63,97,544
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6974352/1
Therefore the LCM of Fractions 333/63,272/97,924/544 is 6974352
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 544
List of positive integer factors of 544 that divides 544 without a remainder.
1,2,4,8,16,17,32,34,68,136,272,544
Greatest Common Factor
We found the factors 63,97,544 . The biggest common factor number is the GCF number.
So the greatest common factor 63,97,544 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 333/63, 272/97, 924/544?
Answer: LCM of Numerators as per given numbers 333/63, 272/97, 924/544 is
LCM of Numerators i.e. for 333,272,924 is 6974352
GCF of denominators i.e. for 63,97,544 is 1.
Thus, LCM of Fractions is 6974352.Finally, LCM of Fractions for 333/63, 272/97, 924/544 is 6974352.