Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9496/624, 7731/6768 quickly i.e. 73413576/48 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9496/624, 7731/6768 is 73413576/48.
LCM(9496/624, 7731/6768) = 73413576/48
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9496/624,7731/6768
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 9496,7731
Least Common Multiple of Numerators i.e. LCM of 9496,7731 is 73413576.
GCF of Denominators means GCF of 624,6768 as per the given fractions.
GCF of 624,6768 is 48 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9496,7731
Given numbers has no common factors except 1. So, there LCM is their product i.e 73413576
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 9496,7731 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9496,7731) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9496,7731) x common factors =1 x 1 = 1
LCM(9496,7731) = ( 9496 × 7731 ) / 1
LCM(9496,7731) = 73413576 / 1
LCM(9496,7731) = 73413576
Lets's calculate GCF of 624,6768
2 | 624, 6768 |
2 | 312, 3384 |
2 | 156, 1692 |
2 | 78, 846 |
3 | 39, 423 |
13, 141 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 3 = 48
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73413576/48
Therefore the LCM of Fractions 9496/624,7731/6768 is 73413576/48
Factors of 624
List of positive integer factors of 624 that divides 624 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624
Factors of 6768
List of positive integer factors of 6768 that divides 6768 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,36,47,48,72,94,141,144,188,282,376,423,564,752,846,1128,1692,2256,3384,6768
Greatest Common Factor
We found the factors 624,6768 . The biggest common factor number is the GCF number.
So the greatest common factor 624,6768 is 48.
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 9496/624, 7731/6768?
Answer: LCM of Numerators as per given numbers 9496/624, 7731/6768 is
LCM of Numerators i.e. for 9496,7731 is 73413576
GCF of denominators i.e. for 624,6768 is 48.
Thus, LCM of Fractions is 73413576/48.Finally, LCM of Fractions for 9496/624, 7731/6768 is 73413576/48.