Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 214/66, 250/14, 279/595 quickly i.e. 7463250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 214/66, 250/14, 279/595 is 7463250.
LCM(214/66, 250/14, 279/595) = 7463250
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 214/66,250/14,279/595
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 214,250,279
Least Common Multiple of Numerators i.e. LCM of 214,250,279 is 7463250.
GCF of Denominators means GCF of 66,14,595 as per the given fractions.
GCF of 66,14,595 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 214,250,279
2 | 214, 250, 279 |
107, 125, 279 |
∴ So the LCM of the given numbers is 2 x 107 x 125 x 279 = 7463250
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 214,250,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,250,279) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(214,250,279) x common factors =1 x 2 = 2
LCM(214,250,279) = ( 214 × 250 × 279 ) / 2
LCM(214,250,279) = 14926500 / 2
LCM(214,250,279) = 7463250
Lets's calculate GCF of 66,14,595
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7463250/1
Therefore the LCM of Fractions 214/66,250/14,279/595 is 7463250
Factors of 66
List of positive integer factors of 66 that divides 66 without a remainder.
1,2,3,6,11,22,33,66
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 595
List of positive integer factors of 595 that divides 595 without a remainder.
1,5,7,17,35,85,119,595
Greatest Common Factor
We found the factors 66,14,595 . The biggest common factor number is the GCF number.
So the greatest common factor 66,14,595 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 214/66, 250/14, 279/595?
Answer: LCM of Numerators as per given numbers 214/66, 250/14, 279/595 is
LCM of Numerators i.e. for 214,250,279 is 7463250
GCF of denominators i.e. for 66,14,595 is 1.
Thus, LCM of Fractions is 7463250.Finally, LCM of Fractions for 214/66, 250/14, 279/595 is 7463250.