Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2537/34, 8720/292 quickly i.e. 11061320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2537/34, 8720/292 is 11061320.
LCM(2537/34, 8720/292) = 11061320
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2537/34,8720/292
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 2537,8720
Least Common Multiple of Numerators i.e. LCM of 2537,8720 is 22122640.
GCF of Denominators means GCF of 34,292 as per the given fractions.
GCF of 34,292 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2537,8720
Given numbers has no common factors except 1. So, there LCM is their product i.e 22122640
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 2537,8720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2537,8720) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2537,8720) x common factors =1 x 1 = 1
LCM(2537,8720) = ( 2537 × 8720 ) / 1
LCM(2537,8720) = 22122640 / 1
LCM(2537,8720) = 22122640
Lets's calculate GCF of 34,292
2 | 34, 292 |
17, 146 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22122640/2
Therefore the LCM of Fractions 2537/34,8720/292 is 11061320
Factors of 34
List of positive integer factors of 34 that divides 34 without a remainder.
1,2,17,34
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Greatest Common Factor
We found the factors 34,292 . The biggest common factor number is the GCF number.
So the greatest common factor 34,292 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 2537/34, 8720/292?
Answer: LCM of Numerators as per given numbers 2537/34, 8720/292 is
LCM of Numerators i.e. for 2537,8720 is 22122640
GCF of denominators i.e. for 34,292 is 2.
Thus, LCM of Fractions is 11061320.Finally, LCM of Fractions for 2537/34, 8720/292 is 11061320.