Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/690, 750/451, 404/652 quickly i.e. 11059500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/690, 750/451, 404/652 is 11059500.
LCM(73/690, 750/451, 404/652) = 11059500
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/690,750/451,404/652
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 73,750,404
Least Common Multiple of Numerators i.e. LCM of 73,750,404 is 11059500.
GCF of Denominators means GCF of 690,451,652 as per the given fractions.
GCF of 690,451,652 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,750,404
2 | 73, 750, 404 |
73, 375, 202 |
∴ So the LCM of the given numbers is 2 x 73 x 375 x 202 = 11059500
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 73,750,404 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,750,404) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(73,750,404) x common factors =1 x 2 = 2
LCM(73,750,404) = ( 73 × 750 × 404 ) / 2
LCM(73,750,404) = 22119000 / 2
LCM(73,750,404) = 11059500
Lets's calculate GCF of 690,451,652
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11059500/1
Therefore the LCM of Fractions 73/690,750/451,404/652 is 11059500
Factors of 690
List of positive integer factors of 690 that divides 690 without a remainder.
1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690
Factors of 451
List of positive integer factors of 451 that divides 451 without a remainder.
1,11,41,451
Factors of 652
List of positive integer factors of 652 that divides 652 without a remainder.
1,2,4,163,326,652
Greatest Common Factor
We found the factors 690,451,652 . The biggest common factor number is the GCF number.
So the greatest common factor 690,451,652 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 73/690, 750/451, 404/652?
Answer: LCM of Numerators as per given numbers 73/690, 750/451, 404/652 is
LCM of Numerators i.e. for 73,750,404 is 11059500
GCF of denominators i.e. for 690,451,652 is 1.
Thus, LCM of Fractions is 11059500.Finally, LCM of Fractions for 73/690, 750/451, 404/652 is 11059500.