Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2/84, 88/58, 58/54, 18/98 quickly i.e. 11484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2/84, 88/58, 58/54, 18/98 is 11484.
LCM(2/84, 88/58, 58/54, 18/98) = 11484
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2/84,88/58,58/54,18/98
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 2,88,58,18
Least Common Multiple of Numerators i.e. LCM of 2,88,58,18 is 22968.
GCF of Denominators means GCF of 84,58,54,98 as per the given fractions.
GCF of 84,58,54,98 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2,88,58,18
2 | 2, 88, 58, 18 |
1, 44, 29, 9 |
∴ So the LCM of the given numbers is 2 x 1 x 44 x 29 x 9 = 22968
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 2,88,58,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2,88,58,18) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(2,88,58,18) x common factors =2 x 4 = 8
LCM(2,88,58,18) = ( 2 × 88 × 58 × 18 ) / 8
LCM(2,88,58,18) = 183744 / 8
LCM(2,88,58,18) = 22968
Lets's calculate GCF of 84,58,54,98
2 | 84, 58, 54, 98 |
42, 29, 27, 49 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22968/2
Therefore the LCM of Fractions 2/84,88/58,58/54,18/98 is 11484
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 58
List of positive integer factors of 58 that divides 58 without a remainder.
1,2,29,58
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Greatest Common Factor
We found the factors 84,58,54,98 . The biggest common factor number is the GCF number.
So the greatest common factor 84,58,54,98 is 2.
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 2/84, 88/58, 58/54, 18/98?
Answer: LCM of Numerators as per given numbers 2/84, 88/58, 58/54, 18/98 is
LCM of Numerators i.e. for 2,88,58,18 is 22968
GCF of denominators i.e. for 84,58,54,98 is 2.
Thus, LCM of Fractions is 11484.Finally, LCM of Fractions for 2/84, 88/58, 58/54, 18/98 is 11484.