Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1/14, 6/97, 21/50, 26/258 quickly i.e. 546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1/14, 6/97, 21/50, 26/258 is 546.
LCM(1/14, 6/97, 21/50, 26/258) = 546
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1/14,6/97,21/50,26/258
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 1,6,21,26
Least Common Multiple of Numerators i.e. LCM of 1,6,21,26 is 546.
GCF of Denominators means GCF of 14,97,50,258 as per the given fractions.
GCF of 14,97,50,258 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1,6,21,26
2 | 1, 6, 21, 26 |
3 | 1, 3, 21, 13 |
1, 1, 7, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 1 x 1 x 7 x 13 = 546
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 1,6,21,26 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1,6,21,26) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(1,6,21,26) x common factors =1 x 6 = 6
LCM(1,6,21,26) = ( 1 × 6 × 21 × 26 ) / 6
LCM(1,6,21,26) = 3276 / 6
LCM(1,6,21,26) = 546
Lets's calculate GCF of 14,97,50,258
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 546/1
Therefore the LCM of Fractions 1/14,6/97,21/50,26/258 is 546
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 14,97,50,258 . The biggest common factor number is the GCF number.
So the greatest common factor 14,97,50,258 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 1/14, 6/97, 21/50, 26/258?
Answer: LCM of Numerators as per given numbers 1/14, 6/97, 21/50, 26/258 is
LCM of Numerators i.e. for 1,6,21,26 is 546
GCF of denominators i.e. for 14,97,50,258 is 1.
Thus, LCM of Fractions is 546.Finally, LCM of Fractions for 1/14, 6/97, 21/50, 26/258 is 546.