Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/141, 9532/6755 quickly i.e. 162044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/141, 9532/6755 is 162044.
LCM(68/141, 9532/6755) = 162044
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/141,9532/6755
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 68,9532
Least Common Multiple of Numerators i.e. LCM of 68,9532 is 162044.
GCF of Denominators means GCF of 141,6755 as per the given fractions.
GCF of 141,6755 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,9532
2 | 68, 9532 |
2 | 34, 4766 |
17, 2383 |
∴ So the LCM of the given numbers is 2 x 2 x 17 x 2383 = 162044
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 68,9532 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,9532) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(68,9532) x common factors =4 x 1 = 4
LCM(68,9532) = ( 68 × 9532 ) / 4
LCM(68,9532) = 648176 / 4
LCM(68,9532) = 162044
Lets's calculate GCF of 141,6755
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162044/1
Therefore the LCM of Fractions 68/141,9532/6755 is 162044
Factors of 141
List of positive integer factors of 141 that divides 141 without a remainder.
1,3,47,141
Factors of 6755
List of positive integer factors of 6755 that divides 6755 without a remainder.
1,5,7,35,193,965,1351,6755
Greatest Common Factor
We found the factors 141,6755 . The biggest common factor number is the GCF number.
So the greatest common factor 141,6755 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 68/141, 9532/6755?
Answer: LCM of Numerators as per given numbers 68/141, 9532/6755 is
LCM of Numerators i.e. for 68,9532 is 162044
GCF of denominators i.e. for 141,6755 is 1.
Thus, LCM of Fractions is 162044.Finally, LCM of Fractions for 68/141, 9532/6755 is 162044.