Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/298, 863/120, 155/434 quickly i.e. 5885660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/298, 863/120, 155/434 is 5885660.
LCM(88/298, 863/120, 155/434) = 5885660
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/298,863/120,155/434
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 88,863,155
Least Common Multiple of Numerators i.e. LCM of 88,863,155 is 11771320.
GCF of Denominators means GCF of 298,120,434 as per the given fractions.
GCF of 298,120,434 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,863,155
Given numbers has no common factors except 1. So, there LCM is their product i.e 11771320
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 88,863,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,863,155) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,863,155) x common factors =1 x 1 = 1
LCM(88,863,155) = ( 88 × 863 × 155 ) / 1
LCM(88,863,155) = 11771320 / 1
LCM(88,863,155) = 11771320
Lets's calculate GCF of 298,120,434
2 | 298, 120, 434 |
149, 60, 217 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11771320/2
Therefore the LCM of Fractions 88/298,863/120,155/434 is 5885660
Factors of 298
List of positive integer factors of 298 that divides 298 without a remainder.
1,2,149,298
Factors of 120
List of positive integer factors of 120 that divides 120 without a remainder.
1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120
Factors of 434
List of positive integer factors of 434 that divides 434 without a remainder.
1,2,7,14,31,62,217,434
Greatest Common Factor
We found the factors 298,120,434 . The biggest common factor number is the GCF number.
So the greatest common factor 298,120,434 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 88/298, 863/120, 155/434?
Answer: LCM of Numerators as per given numbers 88/298, 863/120, 155/434 is
LCM of Numerators i.e. for 88,863,155 is 11771320
GCF of denominators i.e. for 298,120,434 is 2.
Thus, LCM of Fractions is 5885660.Finally, LCM of Fractions for 88/298, 863/120, 155/434 is 5885660.