Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/540, 35/411, 364/376 quickly i.e. 49140 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/540, 35/411, 364/376 is 49140.
LCM(54/540, 35/411, 364/376) = 49140
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/540,35/411,364/376
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 54,35,364
Least Common Multiple of Numerators i.e. LCM of 54,35,364 is 49140.
GCF of Denominators means GCF of 540,411,376 as per the given fractions.
GCF of 540,411,376 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,35,364
2 | 54, 35, 364 |
7 | 27, 35, 182 |
27, 5, 26 |
∴ So the LCM of the given numbers is 2 x 7 x 27 x 5 x 26 = 49140
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 54,35,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,35,364) = 1
common factors(in case of two or more numbers have common factors) = 14
GCF(54,35,364) x common factors =1 x 14 = 14
LCM(54,35,364) = ( 54 × 35 × 364 ) / 14
LCM(54,35,364) = 687960 / 14
LCM(54,35,364) = 49140
Lets's calculate GCF of 540,411,376
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49140/1
Therefore the LCM of Fractions 54/540,35/411,364/376 is 49140
Factors of 540
List of positive integer factors of 540 that divides 540 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540
Factors of 411
List of positive integer factors of 411 that divides 411 without a remainder.
1,3,137,411
Factors of 376
List of positive integer factors of 376 that divides 376 without a remainder.
1,2,4,8,47,94,188,376
Greatest Common Factor
We found the factors 540,411,376 . The biggest common factor number is the GCF number.
So the greatest common factor 540,411,376 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 54/540, 35/411, 364/376?
Answer: LCM of Numerators as per given numbers 54/540, 35/411, 364/376 is
LCM of Numerators i.e. for 54,35,364 is 49140
GCF of denominators i.e. for 540,411,376 is 1.
Thus, LCM of Fractions is 49140.Finally, LCM of Fractions for 54/540, 35/411, 364/376 is 49140.