Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 657/719, 994/800, 794/803 quickly i.e. 259264026 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 657/719, 994/800, 794/803 is 259264026.
LCM(657/719, 994/800, 794/803) = 259264026
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 657/719,994/800,794/803
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 657,994,794
Least Common Multiple of Numerators i.e. LCM of 657,994,794 is 259264026.
GCF of Denominators means GCF of 719,800,803 as per the given fractions.
GCF of 719,800,803 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 657,994,794
2 | 657, 994, 794 |
657, 497, 397 |
∴ So the LCM of the given numbers is 2 x 657 x 497 x 397 = 259264026
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 657,994,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(657,994,794) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(657,994,794) x common factors =1 x 2 = 2
LCM(657,994,794) = ( 657 × 994 × 794 ) / 2
LCM(657,994,794) = 518528052 / 2
LCM(657,994,794) = 259264026
Lets's calculate GCF of 719,800,803
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 259264026/1
Therefore the LCM of Fractions 657/719,994/800,794/803 is 259264026
Factors of 719
List of positive integer factors of 719 that divides 719 without a remainder.
1,719
Factors of 800
List of positive integer factors of 800 that divides 800 without a remainder.
1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800
Factors of 803
List of positive integer factors of 803 that divides 803 without a remainder.
1,11,73,803
Greatest Common Factor
We found the factors 719,800,803 . The biggest common factor number is the GCF number.
So the greatest common factor 719,800,803 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 657/719, 994/800, 794/803?
Answer: LCM of Numerators as per given numbers 657/719, 994/800, 794/803 is
LCM of Numerators i.e. for 657,994,794 is 259264026
GCF of denominators i.e. for 719,800,803 is 1.
Thus, LCM of Fractions is 259264026.Finally, LCM of Fractions for 657/719, 994/800, 794/803 is 259264026.