Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5/28, 6/42, 20/18, 89/526 quickly i.e. 2670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5/28, 6/42, 20/18, 89/526 is 2670.
LCM(5/28, 6/42, 20/18, 89/526) = 2670
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5/28,6/42,20/18,89/526
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 5,6,20,89
Least Common Multiple of Numerators i.e. LCM of 5,6,20,89 is 5340.
GCF of Denominators means GCF of 28,42,18,526 as per the given fractions.
GCF of 28,42,18,526 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5,6,20,89
2 | 5, 6, 20, 89 |
5 | 5, 3, 10, 89 |
1, 3, 2, 89 |
∴ So the LCM of the given numbers is 2 x 5 x 1 x 3 x 2 x 89 = 5340
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 5,6,20,89 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5,6,20,89) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(5,6,20,89) x common factors =1 x 10 = 10
LCM(5,6,20,89) = ( 5 × 6 × 20 × 89 ) / 10
LCM(5,6,20,89) = 53400 / 10
LCM(5,6,20,89) = 5340
Lets's calculate GCF of 28,42,18,526
2 | 28, 42, 18, 526 |
14, 21, 9, 263 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5340/2
Therefore the LCM of Fractions 5/28,6/42,20/18,89/526 is 2670
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
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 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 526
List of positive integer factors of 526 that divides 526 without a remainder.
1,2,263,526
Greatest Common Factor
We found the factors 28,42,18,526 . The biggest common factor number is the GCF number.
So the greatest common factor 28,42,18,526 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 5/28, 6/42, 20/18, 89/526?
Answer: LCM of Numerators as per given numbers 5/28, 6/42, 20/18, 89/526 is
LCM of Numerators i.e. for 5,6,20,89 is 5340
GCF of denominators i.e. for 28,42,18,526 is 2.
Thus, LCM of Fractions is 2670.Finally, LCM of Fractions for 5/28, 6/42, 20/18, 89/526 is 2670.