Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 715/45, 407/6178 quickly i.e. 26455 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 715/45, 407/6178 is 26455.
LCM(715/45, 407/6178) = 26455
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 715/45,407/6178
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 715,407
Least Common Multiple of Numerators i.e. LCM of 715,407 is 26455.
GCF of Denominators means GCF of 45,6178 as per the given fractions.
GCF of 45,6178 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 715,407
11 | 715, 407 |
65, 37 |
∴ So the LCM of the given numbers is 11 x 65 x 37 = 26455
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 715,407 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,407) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(715,407) x common factors =11 x 1 = 11
LCM(715,407) = ( 715 × 407 ) / 11
LCM(715,407) = 291005 / 11
LCM(715,407) = 26455
Lets's calculate GCF of 45,6178
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26455/1
Therefore the LCM of Fractions 715/45,407/6178 is 26455
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 6178
List of positive integer factors of 6178 that divides 6178 without a remainder.
1,2,3089,6178
Greatest Common Factor
We found the factors 45,6178 . The biggest common factor number is the GCF number.
So the greatest common factor 45,6178 is 1.
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 715/45, 407/6178?
Answer: LCM of Numerators as per given numbers 715/45, 407/6178 is
LCM of Numerators i.e. for 715,407 is 26455
GCF of denominators i.e. for 45,6178 is 1.
Thus, LCM of Fractions is 26455.Finally, LCM of Fractions for 715/45, 407/6178 is 26455.