Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 95/21, 90/24, 93/54, 94/529 quickly i.e. 2491470 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 95/21, 90/24, 93/54, 94/529 is 2491470.
LCM(95/21, 90/24, 93/54, 94/529) = 2491470
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 95/21,90/24,93/54,94/529
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 95,90,93,94
Least Common Multiple of Numerators i.e. LCM of 95,90,93,94 is 2491470.
GCF of Denominators means GCF of 21,24,54,529 as per the given fractions.
GCF of 21,24,54,529 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 95,90,93,94
2 | 95, 90, 93, 94 |
3 | 95, 45, 93, 47 |
5 | 95, 15, 31, 47 |
19, 3, 31, 47 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 19 x 3 x 31 x 47 = 2491470
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 95,90,93,94 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,90,93,94) = 1
common factors(in case of two or more numbers have common factors) = 30
GCF(95,90,93,94) x common factors =1 x 30 = 30
LCM(95,90,93,94) = ( 95 × 90 × 93 × 94 ) / 30
LCM(95,90,93,94) = 74744100 / 30
LCM(95,90,93,94) = 2491470
Lets's calculate GCF of 21,24,54,529
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2491470/1
Therefore the LCM of Fractions 95/21,90/24,93/54,94/529 is 2491470
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
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 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Greatest Common Factor
We found the factors 21,24,54,529 . The biggest common factor number is the GCF number.
So the greatest common factor 21,24,54,529 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 95/21, 90/24, 93/54, 94/529?
Answer: LCM of Numerators as per given numbers 95/21, 90/24, 93/54, 94/529 is
LCM of Numerators i.e. for 95,90,93,94 is 2491470
GCF of denominators i.e. for 21,24,54,529 is 1.
Thus, LCM of Fractions is 2491470.Finally, LCM of Fractions for 95/21, 90/24, 93/54, 94/529 is 2491470.