Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 840/432, 205/525 quickly i.e. 11480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 840/432, 205/525 is 11480.
LCM(840/432, 205/525) = 11480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 840/432,205/525
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 840,205
Least Common Multiple of Numerators i.e. LCM of 840,205 is 34440.
GCF of Denominators means GCF of 432,525 as per the given fractions.
GCF of 432,525 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 840,205
5 | 840, 205 |
168, 41 |
∴ So the LCM of the given numbers is 5 x 168 x 41 = 34440
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 840,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(840,205) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(840,205) x common factors =5 x 1 = 5
LCM(840,205) = ( 840 × 205 ) / 5
LCM(840,205) = 172200 / 5
LCM(840,205) = 34440
Lets's calculate GCF of 432,525
3 | 432, 525 |
144, 175 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 34440/3
Therefore the LCM of Fractions 840/432,205/525 is 11480
Factors of 432
List of positive integer factors of 432 that divides 432 without a remainder.
1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432
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 432,525 . The biggest common factor number is the GCF number.
So the greatest common factor 432,525 is 3.
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 840/432, 205/525?
Answer: LCM of Numerators as per given numbers 840/432, 205/525 is
LCM of Numerators i.e. for 840,205 is 34440
GCF of denominators i.e. for 432,525 is 3.
Thus, LCM of Fractions is 11480.Finally, LCM of Fractions for 840/432, 205/525 is 11480.