Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 50/498, 71/308, 346/480 quickly i.e. 307075 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 50/498, 71/308, 346/480 is 307075.
LCM(50/498, 71/308, 346/480) = 307075
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 50/498,71/308,346/480
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 50,71,346
Least Common Multiple of Numerators i.e. LCM of 50,71,346 is 614150.
GCF of Denominators means GCF of 498,308,480 as per the given fractions.
GCF of 498,308,480 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 50,71,346
2 | 50, 71, 346 |
25, 71, 173 |
∴ So the LCM of the given numbers is 2 x 25 x 71 x 173 = 614150
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 50,71,346 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(50,71,346) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(50,71,346) x common factors =1 x 2 = 2
LCM(50,71,346) = ( 50 × 71 × 346 ) / 2
LCM(50,71,346) = 1228300 / 2
LCM(50,71,346) = 614150
Lets's calculate GCF of 498,308,480
2 | 498, 308, 480 |
249, 154, 240 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 614150/2
Therefore the LCM of Fractions 50/498,71/308,346/480 is 307075
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Factors of 308
List of positive integer factors of 308 that divides 308 without a remainder.
1,2,4,7,11,14,22,28,44,77,154,308
Factors of 480
List of positive integer factors of 480 that divides 480 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Greatest Common Factor
We found the factors 498,308,480 . The biggest common factor number is the GCF number.
So the greatest common factor 498,308,480 is 2.
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 50/498, 71/308, 346/480?
Answer: LCM of Numerators as per given numbers 50/498, 71/308, 346/480 is
LCM of Numerators i.e. for 50,71,346 is 614150
GCF of denominators i.e. for 498,308,480 is 2.
Thus, LCM of Fractions is 307075.Finally, LCM of Fractions for 50/498, 71/308, 346/480 is 307075.