Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/284, 49/254, 366/137 quickly i.e. 484218 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/284, 49/254, 366/137 is 484218.
LCM(81/284, 49/254, 366/137) = 484218
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/284,49/254,366/137
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 81,49,366
Least Common Multiple of Numerators i.e. LCM of 81,49,366 is 484218.
GCF of Denominators means GCF of 284,254,137 as per the given fractions.
GCF of 284,254,137 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,49,366
3 | 81, 49, 366 |
27, 49, 122 |
∴ So the LCM of the given numbers is 3 x 27 x 49 x 122 = 484218
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 81,49,366 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,49,366) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(81,49,366) x common factors =1 x 3 = 3
LCM(81,49,366) = ( 81 × 49 × 366 ) / 3
LCM(81,49,366) = 1452654 / 3
LCM(81,49,366) = 484218
Lets's calculate GCF of 284,254,137
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 484218/1
Therefore the LCM of Fractions 81/284,49/254,366/137 is 484218
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Factors of 254
List of positive integer factors of 254 that divides 254 without a remainder.
1,2,127,254
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Greatest Common Factor
We found the factors 284,254,137 . The biggest common factor number is the GCF number.
So the greatest common factor 284,254,137 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 81/284, 49/254, 366/137?
Answer: LCM of Numerators as per given numbers 81/284, 49/254, 366/137 is
LCM of Numerators i.e. for 81,49,366 is 484218
GCF of denominators i.e. for 284,254,137 is 1.
Thus, LCM of Fractions is 484218.Finally, LCM of Fractions for 81/284, 49/254, 366/137 is 484218.