Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 55/98, 86/54, 46/14, 69/314 quickly i.e. 163185 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 55/98, 86/54, 46/14, 69/314 is 163185.
LCM(55/98, 86/54, 46/14, 69/314) = 163185
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 55/98,86/54,46/14,69/314
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 55,86,46,69
Least Common Multiple of Numerators i.e. LCM of 55,86,46,69 is 326370.
GCF of Denominators means GCF of 98,54,14,314 as per the given fractions.
GCF of 98,54,14,314 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 55,86,46,69
2 | 55, 86, 46, 69 |
23 | 55, 43, 23, 69 |
55, 43, 1, 3 |
∴ So the LCM of the given numbers is 2 x 23 x 55 x 43 x 1 x 3 = 326370
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 55,86,46,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,86,46,69) = 1
common factors(in case of two or more numbers have common factors) = 46
GCF(55,86,46,69) x common factors =1 x 46 = 46
LCM(55,86,46,69) = ( 55 × 86 × 46 × 69 ) / 46
LCM(55,86,46,69) = 15013020 / 46
LCM(55,86,46,69) = 326370
Lets's calculate GCF of 98,54,14,314
2 | 98, 54, 14, 314 |
49, 27, 7, 157 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 326370/2
Therefore the LCM of Fractions 55/98,86/54,46/14,69/314 is 163185
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 314
List of positive integer factors of 314 that divides 314 without a remainder.
1,2,157,314
Greatest Common Factor
We found the factors 98,54,14,314 . The biggest common factor number is the GCF number.
So the greatest common factor 98,54,14,314 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 55/98, 86/54, 46/14, 69/314?
Answer: LCM of Numerators as per given numbers 55/98, 86/54, 46/14, 69/314 is
LCM of Numerators i.e. for 55,86,46,69 is 326370
GCF of denominators i.e. for 98,54,14,314 is 2.
Thus, LCM of Fractions is 163185.Finally, LCM of Fractions for 55/98, 86/54, 46/14, 69/314 is 163185.