Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/42, 56/90, 89/51, 79/209 quickly i.e. 4331096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/42, 56/90, 89/51, 79/209 is 4331096.
LCM(88/42, 56/90, 89/51, 79/209) = 4331096
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/42,56/90,89/51,79/209
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 88,56,89,79
Least Common Multiple of Numerators i.e. LCM of 88,56,89,79 is 4331096.
GCF of Denominators means GCF of 42,90,51,209 as per the given fractions.
GCF of 42,90,51,209 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,56,89,79
2 | 88, 56, 89, 79 |
2 | 44, 28, 89, 79 |
2 | 22, 14, 89, 79 |
11, 7, 89, 79 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 11 x 7 x 89 x 79 = 4331096
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 88,56,89,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,56,89,79) = 1
common factors(in case of two or more numbers have common factors) = 8
GCF(88,56,89,79) x common factors =1 x 8 = 8
LCM(88,56,89,79) = ( 88 × 56 × 89 × 79 ) / 8
LCM(88,56,89,79) = 34648768 / 8
LCM(88,56,89,79) = 4331096
Lets's calculate GCF of 42,90,51,209
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4331096/1
Therefore the LCM of Fractions 88/42,56/90,89/51,79/209 is 4331096
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
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 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 209
List of positive integer factors of 209 that divides 209 without a remainder.
1,11,19,209
Greatest Common Factor
We found the factors 42,90,51,209 . The biggest common factor number is the GCF number.
So the greatest common factor 42,90,51,209 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 88/42, 56/90, 89/51, 79/209?
Answer: LCM of Numerators as per given numbers 88/42, 56/90, 89/51, 79/209 is
LCM of Numerators i.e. for 88,56,89,79 is 4331096
GCF of denominators i.e. for 42,90,51,209 is 1.
Thus, LCM of Fractions is 4331096.Finally, LCM of Fractions for 88/42, 56/90, 89/51, 79/209 is 4331096.