Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 715/47, 110/39, 765/709 quickly i.e. 218790 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 715/47, 110/39, 765/709 is 218790.
LCM(715/47, 110/39, 765/709) = 218790
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 715/47,110/39,765/709
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 715,110,765
Least Common Multiple of Numerators i.e. LCM of 715,110,765 is 218790.
GCF of Denominators means GCF of 47,39,709 as per the given fractions.
GCF of 47,39,709 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 715,110,765
5 | 715, 110, 765 |
11 | 143, 22, 153 |
13, 2, 153 |
∴ So the LCM of the given numbers is 5 x 11 x 13 x 2 x 153 = 218790
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 715,110,765 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,110,765) = 5
common factors(in case of two or more numbers have common factors) = 55
GCF(715,110,765) x common factors =5 x 55 = 275
LCM(715,110,765) = ( 715 × 110 × 765 ) / 275
LCM(715,110,765) = 60167250 / 275
LCM(715,110,765) = 218790
Lets's calculate GCF of 47,39,709
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 218790/1
Therefore the LCM of Fractions 715/47,110/39,765/709 is 218790
Factors of 47
List of positive integer factors of 47 that divides 47 without a remainder.
1,47
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 709
List of positive integer factors of 709 that divides 709 without a remainder.
1,709
Greatest Common Factor
We found the factors 47,39,709 . The biggest common factor number is the GCF number.
So the greatest common factor 47,39,709 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 715/47, 110/39, 765/709?
Answer: LCM of Numerators as per given numbers 715/47, 110/39, 765/709 is
LCM of Numerators i.e. for 715,110,765 is 218790
GCF of denominators i.e. for 47,39,709 is 1.
Thus, LCM of Fractions is 218790.Finally, LCM of Fractions for 715/47, 110/39, 765/709 is 218790.