Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8008/988, 7088/1236 quickly i.e. 1773772 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8008/988, 7088/1236 is 1773772.
LCM(8008/988, 7088/1236) = 1773772
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8008/988,7088/1236
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 8008,7088
Least Common Multiple of Numerators i.e. LCM of 8008,7088 is 7095088.
GCF of Denominators means GCF of 988,1236 as per the given fractions.
GCF of 988,1236 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8008,7088
2 | 8008, 7088 |
2 | 4004, 3544 |
2 | 2002, 1772 |
1001, 886 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 1001 x 886 = 7095088
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 8008,7088 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8008,7088) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(8008,7088) x common factors =8 x 1 = 8
LCM(8008,7088) = ( 8008 × 7088 ) / 8
LCM(8008,7088) = 56760704 / 8
LCM(8008,7088) = 7095088
Lets's calculate GCF of 988,1236
2 | 988, 1236 |
2 | 494, 618 |
247, 309 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7095088/4
Therefore the LCM of Fractions 8008/988,7088/1236 is 1773772
Factors of 988
List of positive integer factors of 988 that divides 988 without a remainder.
1,2,4,13,19,26,38,52,76,247,494,988
Factors of 1236
List of positive integer factors of 1236 that divides 1236 without a remainder.
1,2,3,4,6,12,103,206,309,412,618,1236
Greatest Common Factor
We found the factors 988,1236 . The biggest common factor number is the GCF number.
So the greatest common factor 988,1236 is 4.
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 8008/988, 7088/1236?
Answer: LCM of Numerators as per given numbers 8008/988, 7088/1236 is
LCM of Numerators i.e. for 8008,7088 is 7095088
GCF of denominators i.e. for 988,1236 is 4.
Thus, LCM of Fractions is 1773772.Finally, LCM of Fractions for 8008/988, 7088/1236 is 1773772.