Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 123/32, 528/91, 187/661 quickly i.e. 368016 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 123/32, 528/91, 187/661 is 368016.
LCM(123/32, 528/91, 187/661) = 368016
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 123/32,528/91,187/661
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 123,528,187
Least Common Multiple of Numerators i.e. LCM of 123,528,187 is 368016.
GCF of Denominators means GCF of 32,91,661 as per the given fractions.
GCF of 32,91,661 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 123,528,187
3 | 123, 528, 187 |
11 | 41, 176, 187 |
41, 16, 17 |
∴ So the LCM of the given numbers is 3 x 11 x 41 x 16 x 17 = 368016
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 123,528,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,528,187) = 1
common factors(in case of two or more numbers have common factors) = 33
GCF(123,528,187) x common factors =1 x 33 = 33
LCM(123,528,187) = ( 123 × 528 × 187 ) / 33
LCM(123,528,187) = 12144528 / 33
LCM(123,528,187) = 368016
Lets's calculate GCF of 32,91,661
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 368016/1
Therefore the LCM of Fractions 123/32,528/91,187/661 is 368016
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 661
List of positive integer factors of 661 that divides 661 without a remainder.
1,661
Greatest Common Factor
We found the factors 32,91,661 . The biggest common factor number is the GCF number.
So the greatest common factor 32,91,661 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 123/32, 528/91, 187/661?
Answer: LCM of Numerators as per given numbers 123/32, 528/91, 187/661 is
LCM of Numerators i.e. for 123,528,187 is 368016
GCF of denominators i.e. for 32,91,661 is 1.
Thus, LCM of Fractions is 368016.Finally, LCM of Fractions for 123/32, 528/91, 187/661 is 368016.