Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/351, 266/241, 325/694 quickly i.e. 7521150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/351, 266/241, 325/694 is 7521150.
LCM(87/351, 266/241, 325/694) = 7521150
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/351,266/241,325/694
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 87,266,325
Least Common Multiple of Numerators i.e. LCM of 87,266,325 is 7521150.
GCF of Denominators means GCF of 351,241,694 as per the given fractions.
GCF of 351,241,694 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,266,325
Given numbers has no common factors except 1. So, there LCM is their product i.e 7521150
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 87,266,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,266,325) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,266,325) x common factors =1 x 1 = 1
LCM(87,266,325) = ( 87 × 266 × 325 ) / 1
LCM(87,266,325) = 7521150 / 1
LCM(87,266,325) = 7521150
Lets's calculate GCF of 351,241,694
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7521150/1
Therefore the LCM of Fractions 87/351,266/241,325/694 is 7521150
Factors of 351
List of positive integer factors of 351 that divides 351 without a remainder.
1,3,9,13,27,39,117,351
Factors of 241
List of positive integer factors of 241 that divides 241 without a remainder.
1,241
Factors of 694
List of positive integer factors of 694 that divides 694 without a remainder.
1,2,347,694
Greatest Common Factor
We found the factors 351,241,694 . The biggest common factor number is the GCF number.
So the greatest common factor 351,241,694 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 87/351, 266/241, 325/694?
Answer: LCM of Numerators as per given numbers 87/351, 266/241, 325/694 is
LCM of Numerators i.e. for 87,266,325 is 7521150
GCF of denominators i.e. for 351,241,694 is 1.
Thus, LCM of Fractions is 7521150.Finally, LCM of Fractions for 87/351, 266/241, 325/694 is 7521150.