Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 34/462, 33/653, 187/525 quickly i.e. 1122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 34/462, 33/653, 187/525 is 1122.
LCM(34/462, 33/653, 187/525) = 1122
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 34/462,33/653,187/525
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 34,33,187
Least Common Multiple of Numerators i.e. LCM of 34,33,187 is 1122.
GCF of Denominators means GCF of 462,653,525 as per the given fractions.
GCF of 462,653,525 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 34,33,187
11 | 34, 33, 187 |
17 | 34, 3, 17 |
2, 3, 1 |
∴ So the LCM of the given numbers is 11 x 17 x 2 x 3 x 1 = 1122
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 34,33,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(34,33,187) = 1
common factors(in case of two or more numbers have common factors) = 187
GCF(34,33,187) x common factors =1 x 187 = 187
LCM(34,33,187) = ( 34 × 33 × 187 ) / 187
LCM(34,33,187) = 209814 / 187
LCM(34,33,187) = 1122
Lets's calculate GCF of 462,653,525
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1122/1
Therefore the LCM of Fractions 34/462,33/653,187/525 is 1122
Factors of 462
List of positive integer factors of 462 that divides 462 without a remainder.
1,2,3,6,7,11,14,21,22,33,42,66,77,154,231,462
Factors of 653
List of positive integer factors of 653 that divides 653 without a remainder.
1,653
Factors of 525
List of positive integer factors of 525 that divides 525 without a remainder.
1,3,5,7,15,21,25,35,75,105,175,525
Greatest Common Factor
We found the factors 462,653,525 . The biggest common factor number is the GCF number.
So the greatest common factor 462,653,525 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 34/462, 33/653, 187/525?
Answer: LCM of Numerators as per given numbers 34/462, 33/653, 187/525 is
LCM of Numerators i.e. for 34,33,187 is 1122
GCF of denominators i.e. for 462,653,525 is 1.
Thus, LCM of Fractions is 1122.Finally, LCM of Fractions for 34/462, 33/653, 187/525 is 1122.