Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 98/40, 95/21, 79/28, 23/637 quickly i.e. 16916270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 98/40, 95/21, 79/28, 23/637 is 16916270.
LCM(98/40, 95/21, 79/28, 23/637) = 16916270
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 98/40,95/21,79/28,23/637
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 98,95,79,23
Least Common Multiple of Numerators i.e. LCM of 98,95,79,23 is 16916270.
GCF of Denominators means GCF of 40,21,28,637 as per the given fractions.
GCF of 40,21,28,637 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 98,95,79,23
Given numbers has no common factors except 1. So, there LCM is their product i.e 16916270
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 98,95,79,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(98,95,79,23) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(98,95,79,23) x common factors =1 x 1 = 1
LCM(98,95,79,23) = ( 98 × 95 × 79 × 23 ) / 1
LCM(98,95,79,23) = 16916270 / 1
LCM(98,95,79,23) = 16916270
Lets's calculate GCF of 40,21,28,637
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16916270/1
Therefore the LCM of Fractions 98/40,95/21,79/28,23/637 is 16916270
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 637
List of positive integer factors of 637 that divides 637 without a remainder.
1,7,13,49,91,637
Greatest Common Factor
We found the factors 40,21,28,637 . The biggest common factor number is the GCF number.
So the greatest common factor 40,21,28,637 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 98/40, 95/21, 79/28, 23/637?
Answer: LCM of Numerators as per given numbers 98/40, 95/21, 79/28, 23/637 is
LCM of Numerators i.e. for 98,95,79,23 is 16916270
GCF of denominators i.e. for 40,21,28,637 is 1.
Thus, LCM of Fractions is 16916270.Finally, LCM of Fractions for 98/40, 95/21, 79/28, 23/637 is 16916270.