Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/32, 80/90, 76/38, 76/132 quickly i.e. 55480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/32, 80/90, 76/38, 76/132 is 55480.
LCM(73/32, 80/90, 76/38, 76/132) = 55480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/32,80/90,76/38,76/132
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 73,80,76,76
Least Common Multiple of Numerators i.e. LCM of 73,80,76,76 is 110960.
GCF of Denominators means GCF of 32,90,38,132 as per the given fractions.
GCF of 32,90,38,132 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,80,76,76
2 | 73, 80, 76, 76 |
2 | 73, 40, 38, 38 |
19 | 73, 20, 19, 19 |
73, 20, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 73 x 20 x 1 x 1 = 110960
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 73,80,76,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,80,76,76) = 1
common factors(in case of two or more numbers have common factors) = 304
GCF(73,80,76,76) x common factors =1 x 304 = 304
LCM(73,80,76,76) = ( 73 × 80 × 76 × 76 ) / 304
LCM(73,80,76,76) = 33731840 / 304
LCM(73,80,76,76) = 110960
Lets's calculate GCF of 32,90,38,132
2 | 32, 90, 38, 132 |
16, 45, 19, 66 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110960/2
Therefore the LCM of Fractions 73/32,80/90,76/38,76/132 is 55480
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 90
List of positive integer factors of 90 that divides 90 without a remainder.
1,2,3,5,6,9,10,15,18,30,45,90
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
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 32,90,38,132 . The biggest common factor number is the GCF number.
So the greatest common factor 32,90,38,132 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 73/32, 80/90, 76/38, 76/132?
Answer: LCM of Numerators as per given numbers 73/32, 80/90, 76/38, 76/132 is
LCM of Numerators i.e. for 73,80,76,76 is 110960
GCF of denominators i.e. for 32,90,38,132 is 2.
Thus, LCM of Fractions is 55480.Finally, LCM of Fractions for 73/32, 80/90, 76/38, 76/132 is 55480.