Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5154/802, 7448/6432 quickly i.e. 9596748 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5154/802, 7448/6432 is 9596748.
LCM(5154/802, 7448/6432) = 9596748
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5154/802,7448/6432
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 5154,7448
Least Common Multiple of Numerators i.e. LCM of 5154,7448 is 19193496.
GCF of Denominators means GCF of 802,6432 as per the given fractions.
GCF of 802,6432 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5154,7448
2 | 5154, 7448 |
2577, 3724 |
∴ So the LCM of the given numbers is 2 x 2577 x 3724 = 19193496
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 5154,7448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5154,7448) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(5154,7448) x common factors =2 x 1 = 2
LCM(5154,7448) = ( 5154 × 7448 ) / 2
LCM(5154,7448) = 38386992 / 2
LCM(5154,7448) = 19193496
Lets's calculate GCF of 802,6432
2 | 802, 6432 |
401, 3216 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19193496/2
Therefore the LCM of Fractions 5154/802,7448/6432 is 9596748
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Factors of 6432
List of positive integer factors of 6432 that divides 6432 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,67,96,134,201,268,402,536,804,1072,1608,2144,3216,6432
Greatest Common Factor
We found the factors 802,6432 . The biggest common factor number is the GCF number.
So the greatest common factor 802,6432 is 2.
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 5154/802, 7448/6432?
Answer: LCM of Numerators as per given numbers 5154/802, 7448/6432 is
LCM of Numerators i.e. for 5154,7448 is 19193496
GCF of denominators i.e. for 802,6432 is 2.
Thus, LCM of Fractions is 9596748.Finally, LCM of Fractions for 5154/802, 7448/6432 is 9596748.