Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 794/326, 7000/256 quickly i.e. 1389500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 794/326, 7000/256 is 1389500.
LCM(794/326, 7000/256) = 1389500
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 794/326,7000/256
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 794,7000
Least Common Multiple of Numerators i.e. LCM of 794,7000 is 2779000.
GCF of Denominators means GCF of 326,256 as per the given fractions.
GCF of 326,256 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 794,7000
2 | 794, 7000 |
397, 3500 |
∴ So the LCM of the given numbers is 2 x 397 x 3500 = 2779000
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 794,7000 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(794,7000) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(794,7000) x common factors =2 x 1 = 2
LCM(794,7000) = ( 794 × 7000 ) / 2
LCM(794,7000) = 5558000 / 2
LCM(794,7000) = 2779000
Lets's calculate GCF of 326,256
2 | 326, 256 |
163, 128 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2779000/2
Therefore the LCM of Fractions 794/326,7000/256 is 1389500
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Factors of 256
List of positive integer factors of 256 that divides 256 without a remainder.
1,2,4,8,16,32,64,128,256
Greatest Common Factor
We found the factors 326,256 . The biggest common factor number is the GCF number.
So the greatest common factor 326,256 is 2.
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 794/326, 7000/256?
Answer: LCM of Numerators as per given numbers 794/326, 7000/256 is
LCM of Numerators i.e. for 794,7000 is 2779000
GCF of denominators i.e. for 326,256 is 2.
Thus, LCM of Fractions is 1389500.Finally, LCM of Fractions for 794/326, 7000/256 is 1389500.