Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 764/248, 416/488, 149/244 quickly i.e. 2959736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 764/248, 416/488, 149/244 is 2959736.
LCM(764/248, 416/488, 149/244) = 2959736
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 764/248,416/488,149/244
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 764,416,149
Least Common Multiple of Numerators i.e. LCM of 764,416,149 is 11838944.
GCF of Denominators means GCF of 248,488,244 as per the given fractions.
GCF of 248,488,244 is 4 as it is the largest common factor for these numbers.
Lets's calculate LCM of 764,416,149
2 | 764, 416, 149 |
2 | 382, 208, 149 |
191, 104, 149 |
∴ So the LCM of the given numbers is 2 x 2 x 191 x 104 x 149 = 11838944
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 764,416,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,416,149) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(764,416,149) x common factors =1 x 4 = 4
LCM(764,416,149) = ( 764 × 416 × 149 ) / 4
LCM(764,416,149) = 47355776 / 4
LCM(764,416,149) = 11838944
Lets's calculate GCF of 248,488,244
2 | 248, 488, 244 |
2 | 124, 244, 122 |
62, 61, 122 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11838944/4
Therefore the LCM of Fractions 764/248,416/488,149/244 is 2959736
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 488
List of positive integer factors of 488 that divides 488 without a remainder.
1,2,4,8,61,122,244,488
Factors of 244
List of positive integer factors of 244 that divides 244 without a remainder.
1,2,4,61,122,244
Greatest Common Factor
We found the factors 248,488,244 . The biggest common factor number is the GCF number.
So the greatest common factor 248,488,244 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 764/248, 416/488, 149/244?
Answer: LCM of Numerators as per given numbers 764/248, 416/488, 149/244 is
LCM of Numerators i.e. for 764,416,149 is 11838944
GCF of denominators i.e. for 248,488,244 is 4.
Thus, LCM of Fractions is 2959736.Finally, LCM of Fractions for 764/248, 416/488, 149/244 is 2959736.