Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 214/303, 251/107 quickly i.e. 53714 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 214/303, 251/107 is 53714.
LCM(214/303, 251/107) = 53714
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 214/303,251/107
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 214,251
Least Common Multiple of Numerators i.e. LCM of 214,251 is 53714.
GCF of Denominators means GCF of 303,107 as per the given fractions.
GCF of 303,107 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 214,251
Given numbers has no common factors except 1. So, there LCM is their product i.e 53714
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 214,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,251) x common factors =1 x 1 = 1
LCM(214,251) = ( 214 × 251 ) / 1
LCM(214,251) = 53714 / 1
LCM(214,251) = 53714
Lets's calculate GCF of 303,107
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53714/1
Therefore the LCM of Fractions 214/303,251/107 is 53714
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Factors of 107
List of positive integer factors of 107 that divides 107 without a remainder.
1,107
Greatest Common Factor
We found the factors 303,107 . The biggest common factor number is the GCF number.
So the greatest common factor 303,107 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 214/303, 251/107?
Answer: LCM of Numerators as per given numbers 214/303, 251/107 is
LCM of Numerators i.e. for 214,251 is 53714
GCF of denominators i.e. for 303,107 is 1.
Thus, LCM of Fractions is 53714.Finally, LCM of Fractions for 214/303, 251/107 is 53714.