Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/98, 263/74, 114/184 quickly i.e. 614631 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/98, 263/74, 114/184 is 614631.
LCM(41/98, 263/74, 114/184) = 614631
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/98,263/74,114/184
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 41,263,114
Least Common Multiple of Numerators i.e. LCM of 41,263,114 is 1229262.
GCF of Denominators means GCF of 98,74,184 as per the given fractions.
GCF of 98,74,184 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,263,114
Given numbers has no common factors except 1. So, there LCM is their product i.e 1229262
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 41,263,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,263,114) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,263,114) x common factors =1 x 1 = 1
LCM(41,263,114) = ( 41 × 263 × 114 ) / 1
LCM(41,263,114) = 1229262 / 1
LCM(41,263,114) = 1229262
Lets's calculate GCF of 98,74,184
2 | 98, 74, 184 |
49, 37, 92 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1229262/2
Therefore the LCM of Fractions 41/98,263/74,114/184 is 614631
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 184
List of positive integer factors of 184 that divides 184 without a remainder.
1,2,4,8,23,46,92,184
Greatest Common Factor
We found the factors 98,74,184 . The biggest common factor number is the GCF number.
So the greatest common factor 98,74,184 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 41/98, 263/74, 114/184?
Answer: LCM of Numerators as per given numbers 41/98, 263/74, 114/184 is
LCM of Numerators i.e. for 41,263,114 is 1229262
GCF of denominators i.e. for 98,74,184 is 2.
Thus, LCM of Fractions is 614631.Finally, LCM of Fractions for 41/98, 263/74, 114/184 is 614631.