Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 90/308, 401/248, 640/360 quickly i.e. 577440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 90/308, 401/248, 640/360 is 577440.
LCM(90/308, 401/248, 640/360) = 577440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 90/308,401/248,640/360
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 90,401,640
Least Common Multiple of Numerators i.e. LCM of 90,401,640 is 2309760.
GCF of Denominators means GCF of 308,248,360 as per the given fractions.
GCF of 308,248,360 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 90,401,640
2 | 90, 401, 640 |
5 | 45, 401, 320 |
9, 401, 64 |
∴ So the LCM of the given numbers is 2 x 5 x 9 x 401 x 64 = 2309760
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 90,401,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(90,401,640) = 1
common factors(in case of two or more numbers have common factors) = 10
GCF(90,401,640) x common factors =1 x 10 = 10
LCM(90,401,640) = ( 90 × 401 × 640 ) / 10
LCM(90,401,640) = 23097600 / 10
LCM(90,401,640) = 2309760
Lets's calculate GCF of 308,248,360
2 | 308, 248, 360 |
2 | 154, 124, 180 |
77, 62, 90 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2309760/4
Therefore the LCM of Fractions 90/308,401/248,640/360 is 577440
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 248
List of positive integer factors of 248 that divides 248 without a remainder.
1,2,4,8,31,62,124,248
Factors of 360
List of positive integer factors of 360 that divides 360 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360
Greatest Common Factor
We found the factors 308,248,360 . The biggest common factor number is the GCF number.
So the greatest common factor 308,248,360 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 90/308, 401/248, 640/360?
Answer: LCM of Numerators as per given numbers 90/308, 401/248, 640/360 is
LCM of Numerators i.e. for 90,401,640 is 2309760
GCF of denominators i.e. for 308,248,360 is 4.
Thus, LCM of Fractions is 577440.Finally, LCM of Fractions for 90/308, 401/248, 640/360 is 577440.