Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 433/98, 259/42, 292/884 quickly i.e. 16373462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 433/98, 259/42, 292/884 is 16373462.
LCM(433/98, 259/42, 292/884) = 16373462
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 433/98,259/42,292/884
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 433,259,292
Least Common Multiple of Numerators i.e. LCM of 433,259,292 is 32746924.
GCF of Denominators means GCF of 98,42,884 as per the given fractions.
GCF of 98,42,884 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 433,259,292
Given numbers has no common factors except 1. So, there LCM is their product i.e 32746924
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 433,259,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(433,259,292) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(433,259,292) x common factors =1 x 1 = 1
LCM(433,259,292) = ( 433 × 259 × 292 ) / 1
LCM(433,259,292) = 32746924 / 1
LCM(433,259,292) = 32746924
Lets's calculate GCF of 98,42,884
2 | 98, 42, 884 |
49, 21, 442 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32746924/2
Therefore the LCM of Fractions 433/98,259/42,292/884 is 16373462
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Greatest Common Factor
We found the factors 98,42,884 . The biggest common factor number is the GCF number.
So the greatest common factor 98,42,884 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 433/98, 259/42, 292/884?
Answer: LCM of Numerators as per given numbers 433/98, 259/42, 292/884 is
LCM of Numerators i.e. for 433,259,292 is 32746924
GCF of denominators i.e. for 98,42,884 is 2.
Thus, LCM of Fractions is 16373462.Finally, LCM of Fractions for 433/98, 259/42, 292/884 is 16373462.