Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 130/926, 322/283 quickly i.e. 20930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 130/926, 322/283 is 20930.
LCM(130/926, 322/283) = 20930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 130/926,322/283
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 130,322
Least Common Multiple of Numerators i.e. LCM of 130,322 is 20930.
GCF of Denominators means GCF of 926,283 as per the given fractions.
GCF of 926,283 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 130,322
2 | 130, 322 |
65, 161 |
∴ So the LCM of the given numbers is 2 x 65 x 161 = 20930
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 130,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(130,322) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(130,322) x common factors =2 x 1 = 2
LCM(130,322) = ( 130 × 322 ) / 2
LCM(130,322) = 41860 / 2
LCM(130,322) = 20930
Lets's calculate GCF of 926,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20930/1
Therefore the LCM of Fractions 130/926,322/283 is 20930
Factors of 926
List of positive integer factors of 926 that divides 926 without a remainder.
1,2,463,926
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Greatest Common Factor
We found the factors 926,283 . The biggest common factor number is the GCF number.
So the greatest common factor 926,283 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 130/926, 322/283?
Answer: LCM of Numerators as per given numbers 130/926, 322/283 is
LCM of Numerators i.e. for 130,322 is 20930
GCF of denominators i.e. for 926,283 is 1.
Thus, LCM of Fractions is 20930.Finally, LCM of Fractions for 130/926, 322/283 is 20930.