Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 441/625, 547/350, 511/125 quickly i.e. 17609571/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 441/625, 547/350, 511/125 is 17609571/25.
LCM(441/625, 547/350, 511/125) = 17609571/25
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 441/625,547/350,511/125
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 441,547,511
Least Common Multiple of Numerators i.e. LCM of 441,547,511 is 17609571.
GCF of Denominators means GCF of 625,350,125 as per the given fractions.
GCF of 625,350,125 is 25 as it is the largest common factor for these numbers.
Lets's calculate LCM of 441,547,511
7 | 441, 547, 511 |
63, 547, 73 |
∴ So the LCM of the given numbers is 7 x 63 x 547 x 73 = 17609571
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 441,547,511 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,547,511) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(441,547,511) x common factors =1 x 7 = 7
LCM(441,547,511) = ( 441 × 547 × 511 ) / 7
LCM(441,547,511) = 123266997 / 7
LCM(441,547,511) = 17609571
Lets's calculate GCF of 625,350,125
5 | 625, 350, 125 |
5 | 125, 70, 25 |
5, 14, 25 |
∴ So the GCF of the given numbers is 5 x 5 = 25
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17609571/25
Therefore the LCM of Fractions 441/625,547/350,511/125 is 17609571/25
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1,5,25,125,625
Factors of 350
List of positive integer factors of 350 that divides 350 without a remainder.
1,2,5,7,10,14,25,35,50,70,175,350
Factors of 125
List of positive integer factors of 125 that divides 125 without a remainder.
1,5,25,125
Greatest Common Factor
We found the factors 625,350,125 . The biggest common factor number is the GCF number.
So the greatest common factor 625,350,125 is 25.
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 441/625, 547/350, 511/125?
Answer: LCM of Numerators as per given numbers 441/625, 547/350, 511/125 is
LCM of Numerators i.e. for 441,547,511 is 17609571
GCF of denominators i.e. for 625,350,125 is 25.
Thus, LCM of Fractions is 17609571/25.Finally, LCM of Fractions for 441/625, 547/350, 511/125 is 17609571/25.