Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 719/434, 319/995, 473/940 quickly i.e. 9862523 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 719/434, 319/995, 473/940 is 9862523.
LCM(719/434, 319/995, 473/940) = 9862523
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 719/434,319/995,473/940
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 719,319,473
Least Common Multiple of Numerators i.e. LCM of 719,319,473 is 9862523.
GCF of Denominators means GCF of 434,995,940 as per the given fractions.
GCF of 434,995,940 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 719,319,473
11 | 719, 319, 473 |
719, 29, 43 |
∴ So the LCM of the given numbers is 11 x 719 x 29 x 43 = 9862523
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 719,319,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(719,319,473) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(719,319,473) x common factors =1 x 11 = 11
LCM(719,319,473) = ( 719 × 319 × 473 ) / 11
LCM(719,319,473) = 108487753 / 11
LCM(719,319,473) = 9862523
Lets's calculate GCF of 434,995,940
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9862523/1
Therefore the LCM of Fractions 719/434,319/995,473/940 is 9862523
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Factors of 995
List of positive integer factors of 995 that divides 995 without a remainder.
1,5,199,995
Factors of 940
List of positive integer factors of 940 that divides 940 without a remainder.
1,2,4,5,10,20,47,94,188,235,470,940
Greatest Common Factor
We found the factors 434,995,940 . The biggest common factor number is the GCF number.
So the greatest common factor 434,995,940 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 719/434, 319/995, 473/940?
Answer: LCM of Numerators as per given numbers 719/434, 319/995, 473/940 is
LCM of Numerators i.e. for 719,319,473 is 9862523
GCF of denominators i.e. for 434,995,940 is 1.
Thus, LCM of Fractions is 9862523.Finally, LCM of Fractions for 719/434, 319/995, 473/940 is 9862523.