Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/178, 47/401, 888/364 quickly i.e. 1210344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/178, 47/401, 888/364 is 1210344.
LCM(29/178, 47/401, 888/364) = 1210344
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/178,47/401,888/364
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 29,47,888
Least Common Multiple of Numerators i.e. LCM of 29,47,888 is 1210344.
GCF of Denominators means GCF of 178,401,364 as per the given fractions.
GCF of 178,401,364 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,47,888
Given numbers has no common factors except 1. So, there LCM is their product i.e 1210344
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 29,47,888 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,47,888) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,47,888) x common factors =1 x 1 = 1
LCM(29,47,888) = ( 29 × 47 × 888 ) / 1
LCM(29,47,888) = 1210344 / 1
LCM(29,47,888) = 1210344
Lets's calculate GCF of 178,401,364
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1210344/1
Therefore the LCM of Fractions 29/178,47/401,888/364 is 1210344
Factors of 178
List of positive integer factors of 178 that divides 178 without a remainder.
1,2,89,178
Factors of 401
List of positive integer factors of 401 that divides 401 without a remainder.
1,401
Factors of 364
List of positive integer factors of 364 that divides 364 without a remainder.
1,2,4,7,13,14,26,28,52,91,182,364
Greatest Common Factor
We found the factors 178,401,364 . The biggest common factor number is the GCF number.
So the greatest common factor 178,401,364 is 1.
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 29/178, 47/401, 888/364?
Answer: LCM of Numerators as per given numbers 29/178, 47/401, 888/364 is
LCM of Numerators i.e. for 29,47,888 is 1210344
GCF of denominators i.e. for 178,401,364 is 1.
Thus, LCM of Fractions is 1210344.Finally, LCM of Fractions for 29/178, 47/401, 888/364 is 1210344.