Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 108/12, 804/88, 152/452 quickly i.e. 68742 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 108/12, 804/88, 152/452 is 68742.
LCM(108/12, 804/88, 152/452) = 68742
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 108/12,804/88,152/452
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 108,804,152
Least Common Multiple of Numerators i.e. LCM of 108,804,152 is 274968.
GCF of Denominators means GCF of 12,88,452 as per the given fractions.
GCF of 12,88,452 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 108,804,152
2 | 108, 804, 152 |
2 | 54, 402, 76 |
3 | 27, 201, 38 |
9, 67, 38 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 9 x 67 x 38 = 274968
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 108,804,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(108,804,152) = 4
common factors(in case of two or more numbers have common factors) = 12
GCF(108,804,152) x common factors =4 x 12 = 48
LCM(108,804,152) = ( 108 × 804 × 152 ) / 48
LCM(108,804,152) = 13198464 / 48
LCM(108,804,152) = 274968
Lets's calculate GCF of 12,88,452
2 | 12, 88, 452 |
2 | 6, 44, 226 |
3, 22, 113 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 274968/4
Therefore the LCM of Fractions 108/12,804/88,152/452 is 68742
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 452
List of positive integer factors of 452 that divides 452 without a remainder.
1,2,4,113,226,452
Greatest Common Factor
We found the factors 12,88,452 . The biggest common factor number is the GCF number.
So the greatest common factor 12,88,452 is 4.
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 108/12, 804/88, 152/452?
Answer: LCM of Numerators as per given numbers 108/12, 804/88, 152/452 is
LCM of Numerators i.e. for 108,804,152 is 274968
GCF of denominators i.e. for 12,88,452 is 4.
Thus, LCM of Fractions is 68742.Finally, LCM of Fractions for 108/12, 804/88, 152/452 is 68742.