Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2988/744, 7640/124 quickly i.e. 5707080/124 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2988/744, 7640/124 is 5707080/124.
LCM(2988/744, 7640/124) = 5707080/124
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2988/744,7640/124
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 2988,7640
Least Common Multiple of Numerators i.e. LCM of 2988,7640 is 5707080.
GCF of Denominators means GCF of 744,124 as per the given fractions.
GCF of 744,124 is 124 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2988,7640
2 | 2988, 7640 |
2 | 1494, 3820 |
747, 1910 |
∴ So the LCM of the given numbers is 2 x 2 x 747 x 1910 = 5707080
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 2988,7640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2988,7640) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(2988,7640) x common factors =4 x 1 = 4
LCM(2988,7640) = ( 2988 × 7640 ) / 4
LCM(2988,7640) = 22828320 / 4
LCM(2988,7640) = 5707080
Lets's calculate GCF of 744,124
2 | 744, 124 |
2 | 372, 62 |
31 | 186, 31 |
6, 1 |
∴ So the GCF of the given numbers is 2 x 2 x 31 = 124
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5707080/124
Therefore the LCM of Fractions 2988/744,7640/124 is 5707080/124
Factors of 744
List of positive integer factors of 744 that divides 744 without a remainder.
1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Greatest Common Factor
We found the factors 744,124 . The biggest common factor number is the GCF number.
So the greatest common factor 744,124 is 124.
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 2988/744, 7640/124?
Answer: LCM of Numerators as per given numbers 2988/744, 7640/124 is
LCM of Numerators i.e. for 2988,7640 is 5707080
GCF of denominators i.e. for 744,124 is 124.
Thus, LCM of Fractions is 5707080/124.Finally, LCM of Fractions for 2988/744, 7640/124 is 5707080/124.