Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 711/84, 737/69, 830/201 quickly i.e. 144975270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 711/84, 737/69, 830/201 is 144975270.
LCM(711/84, 737/69, 830/201) = 144975270
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 711/84,737/69,830/201
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 711,737,830
Least Common Multiple of Numerators i.e. LCM of 711,737,830 is 434925810.
GCF of Denominators means GCF of 84,69,201 as per the given fractions.
GCF of 84,69,201 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 711,737,830
Given numbers has no common factors except 1. So, there LCM is their product i.e 434925810
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 711,737,830 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(711,737,830) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(711,737,830) x common factors =1 x 1 = 1
LCM(711,737,830) = ( 711 × 737 × 830 ) / 1
LCM(711,737,830) = 434925810 / 1
LCM(711,737,830) = 434925810
Lets's calculate GCF of 84,69,201
3 | 84, 69, 201 |
28, 23, 67 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 434925810/3
Therefore the LCM of Fractions 711/84,737/69,830/201 is 144975270
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 201
List of positive integer factors of 201 that divides 201 without a remainder.
1,3,67,201
Greatest Common Factor
We found the factors 84,69,201 . The biggest common factor number is the GCF number.
So the greatest common factor 84,69,201 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 711/84, 737/69, 830/201?
Answer: LCM of Numerators as per given numbers 711/84, 737/69, 830/201 is
LCM of Numerators i.e. for 711,737,830 is 434925810
GCF of denominators i.e. for 84,69,201 is 3.
Thus, LCM of Fractions is 144975270.Finally, LCM of Fractions for 711/84, 737/69, 830/201 is 144975270.