Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 80/258, 278/904, 244/954 quickly i.e. 339160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 80/258, 278/904, 244/954 is 339160.
LCM(80/258, 278/904, 244/954) = 339160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 80/258,278/904,244/954
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 80,278,244
Least Common Multiple of Numerators i.e. LCM of 80,278,244 is 678320.
GCF of Denominators means GCF of 258,904,954 as per the given fractions.
GCF of 258,904,954 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 80,278,244
2 | 80, 278, 244 |
2 | 40, 139, 122 |
20, 139, 61 |
∴ So the LCM of the given numbers is 2 x 2 x 20 x 139 x 61 = 678320
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 80,278,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(80,278,244) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(80,278,244) x common factors =2 x 4 = 8
LCM(80,278,244) = ( 80 × 278 × 244 ) / 8
LCM(80,278,244) = 5426560 / 8
LCM(80,278,244) = 678320
Lets's calculate GCF of 258,904,954
2 | 258, 904, 954 |
129, 452, 477 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 678320/2
Therefore the LCM of Fractions 80/258,278/904,244/954 is 339160
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Factors of 904
List of positive integer factors of 904 that divides 904 without a remainder.
1,2,4,8,113,226,452,904
Factors of 954
List of positive integer factors of 954 that divides 954 without a remainder.
1,2,3,6,9,18,53,106,159,318,477,954
Greatest Common Factor
We found the factors 258,904,954 . The biggest common factor number is the GCF number.
So the greatest common factor 258,904,954 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 80/258, 278/904, 244/954?
Answer: LCM of Numerators as per given numbers 80/258, 278/904, 244/954 is
LCM of Numerators i.e. for 80,278,244 is 678320
GCF of denominators i.e. for 258,904,954 is 2.
Thus, LCM of Fractions is 339160.Finally, LCM of Fractions for 80/258, 278/904, 244/954 is 339160.