Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7333/627, 6347/924 quickly i.e. 46542551/33 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7333/627, 6347/924 is 46542551/33.
LCM(7333/627, 6347/924) = 46542551/33
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7333/627,6347/924
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 7333,6347
Least Common Multiple of Numerators i.e. LCM of 7333,6347 is 46542551.
GCF of Denominators means GCF of 627,924 as per the given fractions.
GCF of 627,924 is 33 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7333,6347
Given numbers has no common factors except 1. So, there LCM is their product i.e 46542551
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 7333,6347 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7333,6347) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7333,6347) x common factors =1 x 1 = 1
LCM(7333,6347) = ( 7333 × 6347 ) / 1
LCM(7333,6347) = 46542551 / 1
LCM(7333,6347) = 46542551
Lets's calculate GCF of 627,924
3 | 627, 924 |
11 | 209, 308 |
19, 28 |
∴ So the GCF of the given numbers is 3 x 11 = 33
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 46542551/33
Therefore the LCM of Fractions 7333/627,6347/924 is 46542551/33
Factors of 627
List of positive integer factors of 627 that divides 627 without a remainder.
1,3,11,19,33,57,209,627
Factors of 924
List of positive integer factors of 924 that divides 924 without a remainder.
1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,66,77,84,132,154,231,308,462,924
Greatest Common Factor
We found the factors 627,924 . The biggest common factor number is the GCF number.
So the greatest common factor 627,924 is 33.
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 7333/627, 6347/924?
Answer: LCM of Numerators as per given numbers 7333/627, 6347/924 is
LCM of Numerators i.e. for 7333,6347 is 46542551
GCF of denominators i.e. for 627,924 is 33.
Thus, LCM of Fractions is 46542551/33.Finally, LCM of Fractions for 7333/627, 6347/924 is 46542551/33.