Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 546/437, 814/302, 861/865 quickly i.e. 9111102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 546/437, 814/302, 861/865 is 9111102.
LCM(546/437, 814/302, 861/865) = 9111102
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 546/437,814/302,861/865
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 546,814,861
Least Common Multiple of Numerators i.e. LCM of 546,814,861 is 9111102.
GCF of Denominators means GCF of 437,302,865 as per the given fractions.
GCF of 437,302,865 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 546,814,861
2 | 546, 814, 861 |
3 | 273, 407, 861 |
7 | 91, 407, 287 |
13, 407, 41 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 13 x 407 x 41 = 9111102
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 546,814,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,814,861) = 1
common factors(in case of two or more numbers have common factors) = 42
GCF(546,814,861) x common factors =1 x 42 = 42
LCM(546,814,861) = ( 546 × 814 × 861 ) / 42
LCM(546,814,861) = 382666284 / 42
LCM(546,814,861) = 9111102
Lets's calculate GCF of 437,302,865
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9111102/1
Therefore the LCM of Fractions 546/437,814/302,861/865 is 9111102
Factors of 437
List of positive integer factors of 437 that divides 437 without a remainder.
1,19,23,437
Factors of 302
List of positive integer factors of 302 that divides 302 without a remainder.
1,2,151,302
Factors of 865
List of positive integer factors of 865 that divides 865 without a remainder.
1,5,173,865
Greatest Common Factor
We found the factors 437,302,865 . The biggest common factor number is the GCF number.
So the greatest common factor 437,302,865 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 546/437, 814/302, 861/865?
Answer: LCM of Numerators as per given numbers 546/437, 814/302, 861/865 is
LCM of Numerators i.e. for 546,814,861 is 9111102
GCF of denominators i.e. for 437,302,865 is 1.
Thus, LCM of Fractions is 9111102.Finally, LCM of Fractions for 546/437, 814/302, 861/865 is 9111102.