Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/25, 71/547, 37/506 quickly i.e. 5254 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/25, 71/547, 37/506 is 5254.
LCM(2/25, 71/547, 37/506) = 5254
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/25,71/547,37/506
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 2,71,37
Least Common Multiple of Numerators i.e. LCM of 2,71,37 is 5254.
GCF of Denominators means GCF of 25,547,506 as per the given fractions.
GCF of 25,547,506 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,71,37
Given numbers has no common factors except 1. So, there LCM is their product i.e 5254
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 2,71,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,71,37) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2,71,37) x common factors =1 x 1 = 1
LCM(2,71,37) = ( 2 × 71 × 37 ) / 1
LCM(2,71,37) = 5254 / 1
LCM(2,71,37) = 5254
Lets's calculate GCF of 25,547,506
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5254/1
Therefore the LCM of Fractions 2/25,71/547,37/506 is 5254
Factors of 25
List of positive integer factors of 25 that divides 25 without a remainder.
1,5,25
Factors of 547
List of positive integer factors of 547 that divides 547 without a remainder.
1,547
Factors of 506
List of positive integer factors of 506 that divides 506 without a remainder.
1,2,11,22,23,46,253,506
Greatest Common Factor
We found the factors 25,547,506 . The biggest common factor number is the GCF number.
So the greatest common factor 25,547,506 is 1.
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 2/25, 71/547, 37/506?
Answer: LCM of Numerators as per given numbers 2/25, 71/547, 37/506 is
LCM of Numerators i.e. for 2,71,37 is 5254
GCF of denominators i.e. for 25,547,506 is 1.
Thus, LCM of Fractions is 5254.Finally, LCM of Fractions for 2/25, 71/547, 37/506 is 5254.