Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/51, 88/72, 40/63, 87/132 quickly i.e. 242440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/51, 88/72, 40/63, 87/132 is 242440.
LCM(38/51, 88/72, 40/63, 87/132) = 242440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/51,88/72,40/63,87/132
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 38,88,40,87
Least Common Multiple of Numerators i.e. LCM of 38,88,40,87 is 727320.
GCF of Denominators means GCF of 51,72,63,132 as per the given fractions.
GCF of 51,72,63,132 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,88,40,87
2 | 38, 88, 40, 87 |
2 | 19, 44, 20, 87 |
2 | 19, 22, 10, 87 |
19, 11, 5, 87 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 19 x 11 x 5 x 87 = 727320
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 38,88,40,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,88,40,87) = 1
common factors(in case of two or more numbers have common factors) = 16
GCF(38,88,40,87) x common factors =1 x 16 = 16
LCM(38,88,40,87) = ( 38 × 88 × 40 × 87 ) / 16
LCM(38,88,40,87) = 11637120 / 16
LCM(38,88,40,87) = 727320
Lets's calculate GCF of 51,72,63,132
3 | 51, 72, 63, 132 |
17, 24, 21, 44 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 727320/3
Therefore the LCM of Fractions 38/51,88/72,40/63,87/132 is 242440
Factors of 51
List of positive integer factors of 51 that divides 51 without a remainder.
1,3,17,51
Factors of 72
List of positive integer factors of 72 that divides 72 without a remainder.
1,2,3,4,6,8,9,12,18,24,36,72
Factors of 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 132
List of positive integer factors of 132 that divides 132 without a remainder.
1,2,3,4,6,11,12,22,33,44,66,132
Greatest Common Factor
We found the factors 51,72,63,132 . The biggest common factor number is the GCF number.
So the greatest common factor 51,72,63,132 is 3.
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 38/51, 88/72, 40/63, 87/132?
Answer: LCM of Numerators as per given numbers 38/51, 88/72, 40/63, 87/132 is
LCM of Numerators i.e. for 38,88,40,87 is 727320
GCF of denominators i.e. for 51,72,63,132 is 3.
Thus, LCM of Fractions is 242440.Finally, LCM of Fractions for 38/51, 88/72, 40/63, 87/132 is 242440.