Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/65, 14/97, 26/90, 871/77 quickly i.e. 109746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/65, 14/97, 26/90, 871/77 is 109746.
LCM(63/65, 14/97, 26/90, 871/77) = 109746
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/65,14/97,26/90,871/77
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 63,14,26,871
Least Common Multiple of Numerators i.e. LCM of 63,14,26,871 is 109746.
GCF of Denominators means GCF of 65,97,90,77 as per the given fractions.
GCF of 65,97,90,77 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,14,26,871
2 | 63, 14, 26, 871 |
7 | 63, 7, 13, 871 |
13 | 9, 1, 13, 871 |
9, 1, 1, 67 |
∴ So the LCM of the given numbers is 2 x 7 x 13 x 9 x 1 x 1 x 67 = 109746
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 63,14,26,871 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,14,26,871) = 1
common factors(in case of two or more numbers have common factors) = 182
GCF(63,14,26,871) x common factors =1 x 182 = 182
LCM(63,14,26,871) = ( 63 × 14 × 26 × 871 ) / 182
LCM(63,14,26,871) = 19973772 / 182
LCM(63,14,26,871) = 109746
Lets's calculate GCF of 65,97,90,77
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109746/1
Therefore the LCM of Fractions 63/65,14/97,26/90,871/77 is 109746
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Greatest Common Factor
We found the factors 65,97,90,77 . The biggest common factor number is the GCF number.
So the greatest common factor 65,97,90,77 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 63/65, 14/97, 26/90, 871/77?
Answer: LCM of Numerators as per given numbers 63/65, 14/97, 26/90, 871/77 is
LCM of Numerators i.e. for 63,14,26,871 is 109746
GCF of denominators i.e. for 65,97,90,77 is 1.
Thus, LCM of Fractions is 109746.Finally, LCM of Fractions for 63/65, 14/97, 26/90, 871/77 is 109746.