Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1008/356, 3459/284 quickly i.e. 290556 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1008/356, 3459/284 is 290556.
LCM(1008/356, 3459/284) = 290556
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1008/356,3459/284
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 1008,3459
Least Common Multiple of Numerators i.e. LCM of 1008,3459 is 1162224.
GCF of Denominators means GCF of 356,284 as per the given fractions.
GCF of 356,284 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1008,3459
3 | 1008, 3459 |
336, 1153 |
∴ So the LCM of the given numbers is 3 x 336 x 1153 = 1162224
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 1008,3459 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1008,3459) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(1008,3459) x common factors =3 x 1 = 3
LCM(1008,3459) = ( 1008 × 3459 ) / 3
LCM(1008,3459) = 3486672 / 3
LCM(1008,3459) = 1162224
Lets's calculate GCF of 356,284
2 | 356, 284 |
2 | 178, 142 |
89, 71 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1162224/4
Therefore the LCM of Fractions 1008/356,3459/284 is 290556
Factors of 356
List of positive integer factors of 356 that divides 356 without a remainder.
1,2,4,89,178,356
Factors of 284
List of positive integer factors of 284 that divides 284 without a remainder.
1,2,4,71,142,284
Greatest Common Factor
We found the factors 356,284 . The biggest common factor number is the GCF number.
So the greatest common factor 356,284 is 4.
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 1008/356, 3459/284?
Answer: LCM of Numerators as per given numbers 1008/356, 3459/284 is
LCM of Numerators i.e. for 1008,3459 is 1162224
GCF of denominators i.e. for 356,284 is 4.
Thus, LCM of Fractions is 290556.Finally, LCM of Fractions for 1008/356, 3459/284 is 290556.