Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 97/65, 55/71, 40/97, 14/879 quickly i.e. 298760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 97/65, 55/71, 40/97, 14/879 is 298760.
LCM(97/65, 55/71, 40/97, 14/879) = 298760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 97/65,55/71,40/97,14/879
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 97,55,40,14
Least Common Multiple of Numerators i.e. LCM of 97,55,40,14 is 298760.
GCF of Denominators means GCF of 65,71,97,879 as per the given fractions.
GCF of 65,71,97,879 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 97,55,40,14
2 | 97, 55, 40, 14 |
5 | 97, 55, 20, 7 |
97, 11, 4, 7 |
∴ So the LCM of the given numbers is 2 x 5 x 97 x 11 x 4 x 7 = 298760
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 97,55,40,14 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,55,40,14) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(97,55,40,14) x common factors =1 x 10 = 10
LCM(97,55,40,14) = ( 97 × 55 × 40 × 14 ) / 10
LCM(97,55,40,14) = 2987600 / 10
LCM(97,55,40,14) = 298760
Lets's calculate GCF of 65,71,97,879
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 298760/1
Therefore the LCM of Fractions 97/65,55/71,40/97,14/879 is 298760
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 71
List of positive integer factors of 71 that divides 71 without a remainder.
1,71
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 879
List of positive integer factors of 879 that divides 879 without a remainder.
1,3,293,879
Greatest Common Factor
We found the factors 65,71,97,879 . The biggest common factor number is the GCF number.
So the greatest common factor 65,71,97,879 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 97/65, 55/71, 40/97, 14/879?
Answer: LCM of Numerators as per given numbers 97/65, 55/71, 40/97, 14/879 is
LCM of Numerators i.e. for 97,55,40,14 is 298760
GCF of denominators i.e. for 65,71,97,879 is 1.
Thus, LCM of Fractions is 298760.Finally, LCM of Fractions for 97/65, 55/71, 40/97, 14/879 is 298760.