Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/299, 520/974, 101/965 quickly i.e. 1523080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/299, 520/974, 101/965 is 1523080.
LCM(29/299, 520/974, 101/965) = 1523080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/299,520/974,101/965
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 29,520,101
Least Common Multiple of Numerators i.e. LCM of 29,520,101 is 1523080.
GCF of Denominators means GCF of 299,974,965 as per the given fractions.
GCF of 299,974,965 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,520,101
Given numbers has no common factors except 1. So, there LCM is their product i.e 1523080
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 29,520,101 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,520,101) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,520,101) x common factors =1 x 1 = 1
LCM(29,520,101) = ( 29 × 520 × 101 ) / 1
LCM(29,520,101) = 1523080 / 1
LCM(29,520,101) = 1523080
Lets's calculate GCF of 299,974,965
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1523080/1
Therefore the LCM of Fractions 29/299,520/974,101/965 is 1523080
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 974
List of positive integer factors of 974 that divides 974 without a remainder.
1,2,487,974
Factors of 965
List of positive integer factors of 965 that divides 965 without a remainder.
1,5,193,965
Greatest Common Factor
We found the factors 299,974,965 . The biggest common factor number is the GCF number.
So the greatest common factor 299,974,965 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 29/299, 520/974, 101/965?
Answer: LCM of Numerators as per given numbers 29/299, 520/974, 101/965 is
LCM of Numerators i.e. for 29,520,101 is 1523080
GCF of denominators i.e. for 299,974,965 is 1.
Thus, LCM of Fractions is 1523080.Finally, LCM of Fractions for 29/299, 520/974, 101/965 is 1523080.