Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 528/166, 837/109, 267/290 quickly i.e. 13110768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 528/166, 837/109, 267/290 is 13110768.
LCM(528/166, 837/109, 267/290) = 13110768
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 528/166,837/109,267/290
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 528,837,267
Least Common Multiple of Numerators i.e. LCM of 528,837,267 is 13110768.
GCF of Denominators means GCF of 166,109,290 as per the given fractions.
GCF of 166,109,290 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 528,837,267
3 | 528, 837, 267 |
176, 279, 89 |
∴ So the LCM of the given numbers is 3 x 176 x 279 x 89 = 13110768
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 528,837,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(528,837,267) = 3
common factors(in case of two or more numbers have common factors) = 3
GCF(528,837,267) x common factors =3 x 3 = 9
LCM(528,837,267) = ( 528 × 837 × 267 ) / 9
LCM(528,837,267) = 117996912 / 9
LCM(528,837,267) = 13110768
Lets's calculate GCF of 166,109,290
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13110768/1
Therefore the LCM of Fractions 528/166,837/109,267/290 is 13110768
Factors of 166
List of positive integer factors of 166 that divides 166 without a remainder.
1,2,83,166
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Factors of 290
List of positive integer factors of 290 that divides 290 without a remainder.
1,2,5,10,29,58,145,290
Greatest Common Factor
We found the factors 166,109,290 . The biggest common factor number is the GCF number.
So the greatest common factor 166,109,290 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 528/166, 837/109, 267/290?
Answer: LCM of Numerators as per given numbers 528/166, 837/109, 267/290 is
LCM of Numerators i.e. for 528,837,267 is 13110768
GCF of denominators i.e. for 166,109,290 is 1.
Thus, LCM of Fractions is 13110768.Finally, LCM of Fractions for 528/166, 837/109, 267/290 is 13110768.