Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5748/626, 4426/7684 quickly i.e. 6360162 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5748/626, 4426/7684 is 6360162.
LCM(5748/626, 4426/7684) = 6360162
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5748/626,4426/7684
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 5748,4426
Least Common Multiple of Numerators i.e. LCM of 5748,4426 is 12720324.
GCF of Denominators means GCF of 626,7684 as per the given fractions.
GCF of 626,7684 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5748,4426
2 | 5748, 4426 |
2874, 2213 |
∴ So the LCM of the given numbers is 2 x 2874 x 2213 = 12720324
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 5748,4426 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5748,4426) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(5748,4426) x common factors =2 x 1 = 2
LCM(5748,4426) = ( 5748 × 4426 ) / 2
LCM(5748,4426) = 25440648 / 2
LCM(5748,4426) = 12720324
Lets's calculate GCF of 626,7684
2 | 626, 7684 |
313, 3842 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12720324/2
Therefore the LCM of Fractions 5748/626,4426/7684 is 6360162
Factors of 626
List of positive integer factors of 626 that divides 626 without a remainder.
1,2,313,626
Factors of 7684
List of positive integer factors of 7684 that divides 7684 without a remainder.
1,2,4,17,34,68,113,226,452,1921,3842,7684
Greatest Common Factor
We found the factors 626,7684 . The biggest common factor number is the GCF number.
So the greatest common factor 626,7684 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 5748/626, 4426/7684?
Answer: LCM of Numerators as per given numbers 5748/626, 4426/7684 is
LCM of Numerators i.e. for 5748,4426 is 12720324
GCF of denominators i.e. for 626,7684 is 2.
Thus, LCM of Fractions is 6360162.Finally, LCM of Fractions for 5748/626, 4426/7684 is 6360162.