Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7217/140, 2000/6836 quickly i.e. 3608500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7217/140, 2000/6836 is 3608500.
LCM(7217/140, 2000/6836) = 3608500
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7217/140,2000/6836
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 7217,2000
Least Common Multiple of Numerators i.e. LCM of 7217,2000 is 14434000.
GCF of Denominators means GCF of 140,6836 as per the given fractions.
GCF of 140,6836 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7217,2000
Given numbers has no common factors except 1. So, there LCM is their product i.e 14434000
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 7217,2000 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7217,2000) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7217,2000) x common factors =1 x 1 = 1
LCM(7217,2000) = ( 7217 × 2000 ) / 1
LCM(7217,2000) = 14434000 / 1
LCM(7217,2000) = 14434000
Lets's calculate GCF of 140,6836
2 | 140, 6836 |
2 | 70, 3418 |
35, 1709 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14434000/4
Therefore the LCM of Fractions 7217/140,2000/6836 is 3608500
Factors of 140
List of positive integer factors of 140 that divides 140 without a remainder.
1,2,4,5,7,10,14,20,28,35,70,140
Factors of 6836
List of positive integer factors of 6836 that divides 6836 without a remainder.
1,2,4,1709,3418,6836
Greatest Common Factor
We found the factors 140,6836 . The biggest common factor number is the GCF number.
So the greatest common factor 140,6836 is 4.
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 7217/140, 2000/6836?
Answer: LCM of Numerators as per given numbers 7217/140, 2000/6836 is
LCM of Numerators i.e. for 7217,2000 is 14434000
GCF of denominators i.e. for 140,6836 is 4.
Thus, LCM of Fractions is 3608500.Finally, LCM of Fractions for 7217/140, 2000/6836 is 3608500.