Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 546/671, 414/936 quickly i.e. 37674 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 546/671, 414/936 is 37674.
LCM(546/671, 414/936) = 37674
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 546/671,414/936
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 546,414
Least Common Multiple of Numerators i.e. LCM of 546,414 is 37674.
GCF of Denominators means GCF of 671,936 as per the given fractions.
GCF of 671,936 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 546,414
2 | 546, 414 |
3 | 273, 207 |
91, 69 |
∴ So the LCM of the given numbers is 2 x 3 x 91 x 69 = 37674
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 546,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(546,414) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(546,414) x common factors =6 x 1 = 6
LCM(546,414) = ( 546 × 414 ) / 6
LCM(546,414) = 226044 / 6
LCM(546,414) = 37674
Lets's calculate GCF of 671,936
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37674/1
Therefore the LCM of Fractions 546/671,414/936 is 37674
Factors of 671
List of positive integer factors of 671 that divides 671 without a remainder.
1,11,61,671
Factors of 936
List of positive integer factors of 936 that divides 936 without a remainder.
1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936
Greatest Common Factor
We found the factors 671,936 . The biggest common factor number is the GCF number.
So the greatest common factor 671,936 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 546/671, 414/936?
Answer: LCM of Numerators as per given numbers 546/671, 414/936 is
LCM of Numerators i.e. for 546,414 is 37674
GCF of denominators i.e. for 671,936 is 1.
Thus, LCM of Fractions is 37674.Finally, LCM of Fractions for 546/671, 414/936 is 37674.