Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/68, 93/69, 12/18, 541/92 quickly i.e. 4025040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/68, 93/69, 12/18, 541/92 is 4025040.
LCM(80/68, 93/69, 12/18, 541/92) = 4025040
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/68,93/69,12/18,541/92
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 80,93,12,541
Least Common Multiple of Numerators i.e. LCM of 80,93,12,541 is 4025040.
GCF of Denominators means GCF of 68,69,18,92 as per the given fractions.
GCF of 68,69,18,92 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,93,12,541
2 | 80, 93, 12, 541 |
2 | 40, 93, 6, 541 |
3 | 20, 93, 3, 541 |
20, 31, 1, 541 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 20 x 31 x 1 x 541 = 4025040
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 80,93,12,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,93,12,541) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(80,93,12,541) x common factors =1 x 12 = 12
LCM(80,93,12,541) = ( 80 × 93 × 12 × 541 ) / 12
LCM(80,93,12,541) = 48300480 / 12
LCM(80,93,12,541) = 4025040
Lets's calculate GCF of 68,69,18,92
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4025040/1
Therefore the LCM of Fractions 80/68,93/69,12/18,541/92 is 4025040
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 92
List of positive integer factors of 92 that divides 92 without a remainder.
1,2,4,23,46,92
Greatest Common Factor
We found the factors 68,69,18,92 . The biggest common factor number is the GCF number.
So the greatest common factor 68,69,18,92 is 1.
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 80/68, 93/69, 12/18, 541/92?
Answer: LCM of Numerators as per given numbers 80/68, 93/69, 12/18, 541/92 is
LCM of Numerators i.e. for 80,93,12,541 is 4025040
GCF of denominators i.e. for 68,69,18,92 is 1.
Thus, LCM of Fractions is 4025040.Finally, LCM of Fractions for 80/68, 93/69, 12/18, 541/92 is 4025040.