Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 278/521, 673/445, 922/517 quickly i.e. 86250334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 278/521, 673/445, 922/517 is 86250334.
LCM(278/521, 673/445, 922/517) = 86250334
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 278/521,673/445,922/517
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 278,673,922
Least Common Multiple of Numerators i.e. LCM of 278,673,922 is 86250334.
GCF of Denominators means GCF of 521,445,517 as per the given fractions.
GCF of 521,445,517 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 278,673,922
2 | 278, 673, 922 |
139, 673, 461 |
∴ So the LCM of the given numbers is 2 x 139 x 673 x 461 = 86250334
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 278,673,922 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,673,922) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(278,673,922) x common factors =1 x 2 = 2
LCM(278,673,922) = ( 278 × 673 × 922 ) / 2
LCM(278,673,922) = 172500668 / 2
LCM(278,673,922) = 86250334
Lets's calculate GCF of 521,445,517
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86250334/1
Therefore the LCM of Fractions 278/521,673/445,922/517 is 86250334
Factors of 521
List of positive integer factors of 521 that divides 521 without a remainder.
1,521
Factors of 445
List of positive integer factors of 445 that divides 445 without a remainder.
1,5,89,445
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Greatest Common Factor
We found the factors 521,445,517 . The biggest common factor number is the GCF number.
So the greatest common factor 521,445,517 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 278/521, 673/445, 922/517?
Answer: LCM of Numerators as per given numbers 278/521, 673/445, 922/517 is
LCM of Numerators i.e. for 278,673,922 is 86250334
GCF of denominators i.e. for 521,445,517 is 1.
Thus, LCM of Fractions is 86250334.Finally, LCM of Fractions for 278/521, 673/445, 922/517 is 86250334.