Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/790, 83/465, 50/535 quickly i.e. 830 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/790, 83/465, 50/535 is 830.
LCM(2/790, 83/465, 50/535) = 830
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/790,83/465,50/535
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 2,83,50
Least Common Multiple of Numerators i.e. LCM of 2,83,50 is 4150.
GCF of Denominators means GCF of 790,465,535 as per the given fractions.
GCF of 790,465,535 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,83,50
2 | 2, 83, 50 |
1, 83, 25 |
∴ So the LCM of the given numbers is 2 x 1 x 83 x 25 = 4150
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 2,83,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,83,50) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(2,83,50) x common factors =1 x 2 = 2
LCM(2,83,50) = ( 2 × 83 × 50 ) / 2
LCM(2,83,50) = 8300 / 2
LCM(2,83,50) = 4150
Lets's calculate GCF of 790,465,535
5 | 790, 465, 535 |
158, 93, 107 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4150/5
Therefore the LCM of Fractions 2/790,83/465,50/535 is 830
Factors of 790
List of positive integer factors of 790 that divides 790 without a remainder.
1,2,5,10,79,158,395,790
Factors of 465
List of positive integer factors of 465 that divides 465 without a remainder.
1,3,5,15,31,93,155,465
Factors of 535
List of positive integer factors of 535 that divides 535 without a remainder.
1,5,107,535
Greatest Common Factor
We found the factors 790,465,535 . The biggest common factor number is the GCF number.
So the greatest common factor 790,465,535 is 5.
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 2/790, 83/465, 50/535?
Answer: LCM of Numerators as per given numbers 2/790, 83/465, 50/535 is
LCM of Numerators i.e. for 2,83,50 is 4150
GCF of denominators i.e. for 790,465,535 is 5.
Thus, LCM of Fractions is 830.Finally, LCM of Fractions for 2/790, 83/465, 50/535 is 830.