Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/299, 86/897, 951/574 quickly i.e. 5970378 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/299, 86/897, 951/574 is 5970378.
LCM(73/299, 86/897, 951/574) = 5970378
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/299,86/897,951/574
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 73,86,951
Least Common Multiple of Numerators i.e. LCM of 73,86,951 is 5970378.
GCF of Denominators means GCF of 299,897,574 as per the given fractions.
GCF of 299,897,574 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,86,951
Given numbers has no common factors except 1. So, there LCM is their product i.e 5970378
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 73,86,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,86,951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,86,951) x common factors =1 x 1 = 1
LCM(73,86,951) = ( 73 × 86 × 951 ) / 1
LCM(73,86,951) = 5970378 / 1
LCM(73,86,951) = 5970378
Lets's calculate GCF of 299,897,574
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5970378/1
Therefore the LCM of Fractions 73/299,86/897,951/574 is 5970378
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Factors of 897
List of positive integer factors of 897 that divides 897 without a remainder.
1,3,13,23,39,69,299,897
Factors of 574
List of positive integer factors of 574 that divides 574 without a remainder.
1,2,7,14,41,82,287,574
Greatest Common Factor
We found the factors 299,897,574 . The biggest common factor number is the GCF number.
So the greatest common factor 299,897,574 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 73/299, 86/897, 951/574?
Answer: LCM of Numerators as per given numbers 73/299, 86/897, 951/574 is
LCM of Numerators i.e. for 73,86,951 is 5970378
GCF of denominators i.e. for 299,897,574 is 1.
Thus, LCM of Fractions is 5970378.Finally, LCM of Fractions for 73/299, 86/897, 951/574 is 5970378.