Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7004/297, 5984/7941 quickly i.e. 616352/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7004/297, 5984/7941 is 616352/3.
LCM(7004/297, 5984/7941) = 616352/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7004/297,5984/7941
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 7004,5984
Least Common Multiple of Numerators i.e. LCM of 7004,5984 is 616352.
GCF of Denominators means GCF of 297,7941 as per the given fractions.
GCF of 297,7941 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7004,5984
2 | 7004, 5984 |
2 | 3502, 2992 |
17 | 1751, 1496 |
103, 88 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 103 x 88 = 616352
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 7004,5984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7004,5984) = 68
common factors(in case of two or more numbers have common factors) = 1
GCF(7004,5984) x common factors =68 x 1 = 68
LCM(7004,5984) = ( 7004 × 5984 ) / 68
LCM(7004,5984) = 41911936 / 68
LCM(7004,5984) = 616352
Lets's calculate GCF of 297,7941
3 | 297, 7941 |
99, 2647 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 616352/3
Therefore the LCM of Fractions 7004/297,5984/7941 is 616352/3
Factors of 297
List of positive integer factors of 297 that divides 297 without a remainder.
1,3,9,11,27,33,99,297
Factors of 7941
List of positive integer factors of 7941 that divides 7941 without a remainder.
1,3,2647,7941
Greatest Common Factor
We found the factors 297,7941 . The biggest common factor number is the GCF number.
So the greatest common factor 297,7941 is 3.
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 7004/297, 5984/7941?
Answer: LCM of Numerators as per given numbers 7004/297, 5984/7941 is
LCM of Numerators i.e. for 7004,5984 is 616352
GCF of denominators i.e. for 297,7941 is 3.
Thus, LCM of Fractions is 616352/3.Finally, LCM of Fractions for 7004/297, 5984/7941 is 616352/3.