Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 69/721, 92/615, 357/803 quickly i.e. 32844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 69/721, 92/615, 357/803 is 32844.
LCM(69/721, 92/615, 357/803) = 32844
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 69/721,92/615,357/803
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 69,92,357
Least Common Multiple of Numerators i.e. LCM of 69,92,357 is 32844.
GCF of Denominators means GCF of 721,615,803 as per the given fractions.
GCF of 721,615,803 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 69,92,357
3 | 69, 92, 357 |
23 | 23, 92, 119 |
1, 4, 119 |
∴ So the LCM of the given numbers is 3 x 23 x 1 x 4 x 119 = 32844
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 69,92,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,92,357) = 1
common factors(in case of two or more numbers have common factors) = 69
GCF(69,92,357) x common factors =1 x 69 = 69
LCM(69,92,357) = ( 69 × 92 × 357 ) / 69
LCM(69,92,357) = 2266236 / 69
LCM(69,92,357) = 32844
Lets's calculate GCF of 721,615,803
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32844/1
Therefore the LCM of Fractions 69/721,92/615,357/803 is 32844
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Factors of 615
List of positive integer factors of 615 that divides 615 without a remainder.
1,3,5,15,41,123,205,615
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Greatest Common Factor
We found the factors 721,615,803 . The biggest common factor number is the GCF number.
So the greatest common factor 721,615,803 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 69/721, 92/615, 357/803?
Answer: LCM of Numerators as per given numbers 69/721, 92/615, 357/803 is
LCM of Numerators i.e. for 69,92,357 is 32844
GCF of denominators i.e. for 721,615,803 is 1.
Thus, LCM of Fractions is 32844.Finally, LCM of Fractions for 69/721, 92/615, 357/803 is 32844.