Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 17/295, 879/926, 507/386 quickly i.e. 2525367 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 17/295, 879/926, 507/386 is 2525367.
LCM(17/295, 879/926, 507/386) = 2525367
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 17/295,879/926,507/386
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 17,879,507
Least Common Multiple of Numerators i.e. LCM of 17,879,507 is 2525367.
GCF of Denominators means GCF of 295,926,386 as per the given fractions.
GCF of 295,926,386 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 17,879,507
3 | 17, 879, 507 |
17, 293, 169 |
∴ So the LCM of the given numbers is 3 x 17 x 293 x 169 = 2525367
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 17,879,507 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,879,507) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(17,879,507) x common factors =1 x 3 = 3
LCM(17,879,507) = ( 17 × 879 × 507 ) / 3
LCM(17,879,507) = 7576101 / 3
LCM(17,879,507) = 2525367
Lets's calculate GCF of 295,926,386
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2525367/1
Therefore the LCM of Fractions 17/295,879/926,507/386 is 2525367
Factors of 295
List of positive integer factors of 295 that divides 295 without a remainder.
1,5,59,295
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
Factors of 386
List of positive integer factors of 386 that divides 386 without a remainder.
1,2,193,386
Greatest Common Factor
We found the factors 295,926,386 . The biggest common factor number is the GCF number.
So the greatest common factor 295,926,386 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 17/295, 879/926, 507/386?
Answer: LCM of Numerators as per given numbers 17/295, 879/926, 507/386 is
LCM of Numerators i.e. for 17,879,507 is 2525367
GCF of denominators i.e. for 295,926,386 is 1.
Thus, LCM of Fractions is 2525367.Finally, LCM of Fractions for 17/295, 879/926, 507/386 is 2525367.