Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 624/12, 133/6552 quickly i.e. 6916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 624/12, 133/6552 is 6916.
LCM(624/12, 133/6552) = 6916
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 624/12,133/6552
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 624,133
Least Common Multiple of Numerators i.e. LCM of 624,133 is 82992.
GCF of Denominators means GCF of 12,6552 as per the given fractions.
GCF of 12,6552 is 12 as it is the largest common factor for these numbers.
Lets's calculate LCM of 624,133
Given numbers has no common factors except 1. So, there LCM is their product i.e 82992
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 624,133 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,133) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(624,133) x common factors =1 x 1 = 1
LCM(624,133) = ( 624 × 133 ) / 1
LCM(624,133) = 82992 / 1
LCM(624,133) = 82992
Lets's calculate GCF of 12,6552
2 | 12, 6552 |
2 | 6, 3276 |
3 | 3, 1638 |
1, 546 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82992/12
Therefore the LCM of Fractions 624/12,133/6552 is 6916
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 6552
List of positive integer factors of 6552 that divides 6552 without a remainder.
1,2,3,4,6,7,8,9,12,13,14,18,21,24,26,28,36,39,42,52,56,63,72,78,84,91,104,117,126,156,168,182,234,252,273,312,364,468,504,546,728,819,936,1092,1638,2184,3276,6552
Greatest Common Factor
We found the factors 12,6552 . The biggest common factor number is the GCF number.
So the greatest common factor 12,6552 is 12.
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 624/12, 133/6552?
Answer: LCM of Numerators as per given numbers 624/12, 133/6552 is
LCM of Numerators i.e. for 624,133 is 82992
GCF of denominators i.e. for 12,6552 is 12.
Thus, LCM of Fractions is 6916.Finally, LCM of Fractions for 624/12, 133/6552 is 6916.