Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/818, 395/638, 141/346 quickly i.e. 2450580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/818, 395/638, 141/346 is 2450580.
LCM(88/818, 395/638, 141/346) = 2450580
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/818,395/638,141/346
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 88,395,141
Least Common Multiple of Numerators i.e. LCM of 88,395,141 is 4901160.
GCF of Denominators means GCF of 818,638,346 as per the given fractions.
GCF of 818,638,346 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,395,141
Given numbers has no common factors except 1. So, there LCM is their product i.e 4901160
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 88,395,141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,395,141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(88,395,141) x common factors =1 x 1 = 1
LCM(88,395,141) = ( 88 × 395 × 141 ) / 1
LCM(88,395,141) = 4901160 / 1
LCM(88,395,141) = 4901160
Lets's calculate GCF of 818,638,346
2 | 818, 638, 346 |
409, 319, 173 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4901160/2
Therefore the LCM of Fractions 88/818,395/638,141/346 is 2450580
Factors of 818
List of positive integer factors of 818 that divides 818 without a remainder.
1,2,409,818
Factors of 638
List of positive integer factors of 638 that divides 638 without a remainder.
1,2,11,22,29,58,319,638
Factors of 346
List of positive integer factors of 346 that divides 346 without a remainder.
1,2,173,346
Greatest Common Factor
We found the factors 818,638,346 . The biggest common factor number is the GCF number.
So the greatest common factor 818,638,346 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 88/818, 395/638, 141/346?
Answer: LCM of Numerators as per given numbers 88/818, 395/638, 141/346 is
LCM of Numerators i.e. for 88,395,141 is 4901160
GCF of denominators i.e. for 818,638,346 is 2.
Thus, LCM of Fractions is 2450580.Finally, LCM of Fractions for 88/818, 395/638, 141/346 is 2450580.