Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7152/260, 6004/344 quickly i.e. 2683788 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7152/260, 6004/344 is 2683788.
LCM(7152/260, 6004/344) = 2683788
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7152/260,6004/344
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 7152,6004
Least Common Multiple of Numerators i.e. LCM of 7152,6004 is 10735152.
GCF of Denominators means GCF of 260,344 as per the given fractions.
GCF of 260,344 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7152,6004
2 | 7152, 6004 |
2 | 3576, 3002 |
1788, 1501 |
∴ So the LCM of the given numbers is 2 x 2 x 1788 x 1501 = 10735152
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 7152,6004 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7152,6004) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(7152,6004) x common factors =4 x 1 = 4
LCM(7152,6004) = ( 7152 × 6004 ) / 4
LCM(7152,6004) = 42940608 / 4
LCM(7152,6004) = 10735152
Lets's calculate GCF of 260,344
2 | 260, 344 |
2 | 130, 172 |
65, 86 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10735152/4
Therefore the LCM of Fractions 7152/260,6004/344 is 2683788
Factors of 260
List of positive integer factors of 260 that divides 260 without a remainder.
1,2,4,5,10,13,20,26,52,65,130,260
Factors of 344
List of positive integer factors of 344 that divides 344 without a remainder.
1,2,4,8,43,86,172,344
Greatest Common Factor
We found the factors 260,344 . The biggest common factor number is the GCF number.
So the greatest common factor 260,344 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 7152/260, 6004/344?
Answer: LCM of Numerators as per given numbers 7152/260, 6004/344 is
LCM of Numerators i.e. for 7152,6004 is 10735152
GCF of denominators i.e. for 260,344 is 4.
Thus, LCM of Fractions is 2683788.Finally, LCM of Fractions for 7152/260, 6004/344 is 2683788.