Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 64/616, 353/229, 639/270 quickly i.e. 14436288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 64/616, 353/229, 639/270 is 14436288.
LCM(64/616, 353/229, 639/270) = 14436288
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 64/616,353/229,639/270
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 64,353,639
Least Common Multiple of Numerators i.e. LCM of 64,353,639 is 14436288.
GCF of Denominators means GCF of 616,229,270 as per the given fractions.
GCF of 616,229,270 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 64,353,639
Given numbers has no common factors except 1. So, there LCM is their product i.e 14436288
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 64,353,639 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,353,639) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,353,639) x common factors =1 x 1 = 1
LCM(64,353,639) = ( 64 × 353 × 639 ) / 1
LCM(64,353,639) = 14436288 / 1
LCM(64,353,639) = 14436288
Lets's calculate GCF of 616,229,270
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14436288/1
Therefore the LCM of Fractions 64/616,353/229,639/270 is 14436288
Factors of 616
List of positive integer factors of 616 that divides 616 without a remainder.
1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616
Factors of 229
List of positive integer factors of 229 that divides 229 without a remainder.
1,229
Factors of 270
List of positive integer factors of 270 that divides 270 without a remainder.
1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270
Greatest Common Factor
We found the factors 616,229,270 . The biggest common factor number is the GCF number.
So the greatest common factor 616,229,270 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 64/616, 353/229, 639/270?
Answer: LCM of Numerators as per given numbers 64/616, 353/229, 639/270 is
LCM of Numerators i.e. for 64,353,639 is 14436288
GCF of denominators i.e. for 616,229,270 is 1.
Thus, LCM of Fractions is 14436288.Finally, LCM of Fractions for 64/616, 353/229, 639/270 is 14436288.