Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 607/14, 613/7392 quickly i.e. 372091/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 607/14, 613/7392 is 372091/14.
LCM(607/14, 613/7392) = 372091/14
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 607/14,613/7392
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 607,613
Least Common Multiple of Numerators i.e. LCM of 607,613 is 372091.
GCF of Denominators means GCF of 14,7392 as per the given fractions.
GCF of 14,7392 is 14 as it is the largest common factor for these numbers.
Lets's calculate LCM of 607,613
Given numbers has no common factors except 1. So, there LCM is their product i.e 372091
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 607,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(607,613) x common factors =1 x 1 = 1
LCM(607,613) = ( 607 × 613 ) / 1
LCM(607,613) = 372091 / 1
LCM(607,613) = 372091
Lets's calculate GCF of 14,7392
2 | 14, 7392 |
7 | 7, 3696 |
1, 528 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 372091/14
Therefore the LCM of Fractions 607/14,613/7392 is 372091/14
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 7392
List of positive integer factors of 7392 that divides 7392 without a remainder.
1,2,3,4,6,7,8,11,12,14,16,21,22,24,28,32,33,42,44,48,56,66,77,84,88,96,112,132,154,168,176,224,231,264,308,336,352,462,528,616,672,924,1056,1232,1848,2464,3696,7392
Greatest Common Factor
We found the factors 14,7392 . The biggest common factor number is the GCF number.
So the greatest common factor 14,7392 is 14.
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 607/14, 613/7392?
Answer: LCM of Numerators as per given numbers 607/14, 613/7392 is
LCM of Numerators i.e. for 607,613 is 372091
GCF of denominators i.e. for 14,7392 is 14.
Thus, LCM of Fractions is 372091/14.Finally, LCM of Fractions for 607/14, 613/7392 is 372091/14.