Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 42/97, 70/39, 26/82, 80/281 quickly i.e. 21840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 42/97, 70/39, 26/82, 80/281 is 21840.
LCM(42/97, 70/39, 26/82, 80/281) = 21840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 42/97,70/39,26/82,80/281
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 42,70,26,80
Least Common Multiple of Numerators i.e. LCM of 42,70,26,80 is 21840.
GCF of Denominators means GCF of 97,39,82,281 as per the given fractions.
GCF of 97,39,82,281 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 42,70,26,80
2 | 42, 70, 26, 80 |
5 | 21, 35, 13, 40 |
7 | 21, 7, 13, 8 |
3, 1, 13, 8 |
∴ So the LCM of the given numbers is 2 x 5 x 7 x 3 x 1 x 13 x 8 = 21840
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 42,70,26,80 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(42,70,26,80) = 2
common factors(in case of two or more numbers have common factors) = 140
GCF(42,70,26,80) x common factors =2 x 140 = 280
LCM(42,70,26,80) = ( 42 × 70 × 26 × 80 ) / 280
LCM(42,70,26,80) = 6115200 / 280
LCM(42,70,26,80) = 21840
Lets's calculate GCF of 97,39,82,281
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21840/1
Therefore the LCM of Fractions 42/97,70/39,26/82,80/281 is 21840
Factors of 97
List of positive integer factors of 97 that divides 97 without a remainder.
1,97
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 281
List of positive integer factors of 281 that divides 281 without a remainder.
1,281
Greatest Common Factor
We found the factors 97,39,82,281 . The biggest common factor number is the GCF number.
So the greatest common factor 97,39,82,281 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 42/97, 70/39, 26/82, 80/281?
Answer: LCM of Numerators as per given numbers 42/97, 70/39, 26/82, 80/281 is
LCM of Numerators i.e. for 42,70,26,80 is 21840
GCF of denominators i.e. for 97,39,82,281 is 1.
Thus, LCM of Fractions is 21840.Finally, LCM of Fractions for 42/97, 70/39, 26/82, 80/281 is 21840.