Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/526, 746/493, 867/137 quickly i.e. 8408166 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/526, 746/493, 867/137 is 8408166.
LCM(13/526, 746/493, 867/137) = 8408166
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/526,746/493,867/137
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 13,746,867
Least Common Multiple of Numerators i.e. LCM of 13,746,867 is 8408166.
GCF of Denominators means GCF of 526,493,137 as per the given fractions.
GCF of 526,493,137 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,746,867
Given numbers has no common factors except 1. So, there LCM is their product i.e 8408166
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 13,746,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,746,867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(13,746,867) x common factors =1 x 1 = 1
LCM(13,746,867) = ( 13 × 746 × 867 ) / 1
LCM(13,746,867) = 8408166 / 1
LCM(13,746,867) = 8408166
Lets's calculate GCF of 526,493,137
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8408166/1
Therefore the LCM of Fractions 13/526,746/493,867/137 is 8408166
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1,17,29,493
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Greatest Common Factor
We found the factors 526,493,137 . The biggest common factor number is the GCF number.
So the greatest common factor 526,493,137 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 13/526, 746/493, 867/137?
Answer: LCM of Numerators as per given numbers 13/526, 746/493, 867/137 is
LCM of Numerators i.e. for 13,746,867 is 8408166
GCF of denominators i.e. for 526,493,137 is 1.
Thus, LCM of Fractions is 8408166.Finally, LCM of Fractions for 13/526, 746/493, 867/137 is 8408166.