Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 652/790, 3565/150 quickly i.e. 232438 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 652/790, 3565/150 is 232438.
LCM(652/790, 3565/150) = 232438
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 652/790,3565/150
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 652,3565
Least Common Multiple of Numerators i.e. LCM of 652,3565 is 2324380.
GCF of Denominators means GCF of 790,150 as per the given fractions.
GCF of 790,150 is 10 as it is the largest common factor for these numbers.
Lets's calculate LCM of 652,3565
Given numbers has no common factors except 1. So, there LCM is their product i.e 2324380
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 652,3565 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,3565) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(652,3565) x common factors =1 x 1 = 1
LCM(652,3565) = ( 652 × 3565 ) / 1
LCM(652,3565) = 2324380 / 1
LCM(652,3565) = 2324380
Lets's calculate GCF of 790,150
2 | 790, 150 |
5 | 395, 75 |
79, 15 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2324380/10
Therefore the LCM of Fractions 652/790,3565/150 is 232438
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 150
List of positive integer factors of 150 that divides 150 without a remainder.
1,2,3,5,6,10,15,25,30,50,75,150
Greatest Common Factor
We found the factors 790,150 . The biggest common factor number is the GCF number.
So the greatest common factor 790,150 is 10.
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 652/790, 3565/150?
Answer: LCM of Numerators as per given numbers 652/790, 3565/150 is
LCM of Numerators i.e. for 652,3565 is 2324380
GCF of denominators i.e. for 790,150 is 10.
Thus, LCM of Fractions is 232438.Finally, LCM of Fractions for 652/790, 3565/150 is 232438.