Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 837/28, 180/18, 540/258 quickly i.e. 8370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 837/28, 180/18, 540/258 is 8370.
LCM(837/28, 180/18, 540/258) = 8370
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 837/28,180/18,540/258
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 837,180,540
Least Common Multiple of Numerators i.e. LCM of 837,180,540 is 16740.
GCF of Denominators means GCF of 28,18,258 as per the given fractions.
GCF of 28,18,258 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 837,180,540
2 | 837, 180, 540 |
2 | 837, 90, 270 |
3 | 837, 45, 135 |
3 | 279, 15, 45 |
3 | 93, 5, 15 |
5 | 31, 5, 5 |
31, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 5 x 31 x 1 x 1 = 16740
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 837,180,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(837,180,540) = 9
common factors(in case of two or more numbers have common factors) = 540
GCF(837,180,540) x common factors =9 x 540 = 4860
LCM(837,180,540) = ( 837 × 180 × 540 ) / 4860
LCM(837,180,540) = 81356400 / 4860
LCM(837,180,540) = 16740
Lets's calculate GCF of 28,18,258
2 | 28, 18, 258 |
14, 9, 129 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16740/2
Therefore the LCM of Fractions 837/28,180/18,540/258 is 8370
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 28,18,258 . The biggest common factor number is the GCF number.
So the greatest common factor 28,18,258 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 837/28, 180/18, 540/258?
Answer: LCM of Numerators as per given numbers 837/28, 180/18, 540/258 is
LCM of Numerators i.e. for 837,180,540 is 16740
GCF of denominators i.e. for 28,18,258 is 2.
Thus, LCM of Fractions is 8370.Finally, LCM of Fractions for 837/28, 180/18, 540/258 is 8370.