Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8/97, 4/16, 67/86, 40/107 quickly i.e. 2680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8/97, 4/16, 67/86, 40/107 is 2680.
LCM(8/97, 4/16, 67/86, 40/107) = 2680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8/97,4/16,67/86,40/107
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 8,4,67,40
Least Common Multiple of Numerators i.e. LCM of 8,4,67,40 is 2680.
GCF of Denominators means GCF of 97,16,86,107 as per the given fractions.
GCF of 97,16,86,107 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8,4,67,40
2 | 8, 4, 67, 40 |
2 | 4, 2, 67, 20 |
2 | 1, 2, 67, 10 |
1, 1, 67, 5 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 1 x 1 x 67 x 5 = 2680
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 8,4,67,40 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8,4,67,40) = 1
common factors(in case of two or more numbers have common factors) = 32
GCF(8,4,67,40) x common factors =1 x 32 = 32
LCM(8,4,67,40) = ( 8 × 4 × 67 × 40 ) / 32
LCM(8,4,67,40) = 85760 / 32
LCM(8,4,67,40) = 2680
Lets's calculate GCF of 97,16,86,107
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2680/1
Therefore the LCM of Fractions 8/97,4/16,67/86,40/107 is 2680
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 86
List of positive integer factors of 86 that divides 86 without a remainder.
1,2,43,86
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 97,16,86,107 . The biggest common factor number is the GCF number.
So the greatest common factor 97,16,86,107 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 8/97, 4/16, 67/86, 40/107?
Answer: LCM of Numerators as per given numbers 8/97, 4/16, 67/86, 40/107 is
LCM of Numerators i.e. for 8,4,67,40 is 2680
GCF of denominators i.e. for 97,16,86,107 is 1.
Thus, LCM of Fractions is 2680.Finally, LCM of Fractions for 8/97, 4/16, 67/86, 40/107 is 2680.