Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 637/27, 803/30, 668/68 quickly i.e. 341689348 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 637/27, 803/30, 668/68 is 341689348.
LCM(637/27, 803/30, 668/68) = 341689348
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 637/27,803/30,668/68
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 637,803,668
Least Common Multiple of Numerators i.e. LCM of 637,803,668 is 341689348.
GCF of Denominators means GCF of 27,30,68 as per the given fractions.
GCF of 27,30,68 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 637,803,668
Given numbers has no common factors except 1. So, there LCM is their product i.e 341689348
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 637,803,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,803,668) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,803,668) x common factors =1 x 1 = 1
LCM(637,803,668) = ( 637 × 803 × 668 ) / 1
LCM(637,803,668) = 341689348 / 1
LCM(637,803,668) = 341689348
Lets's calculate GCF of 27,30,68
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 341689348/1
Therefore the LCM of Fractions 637/27,803/30,668/68 is 341689348
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Greatest Common Factor
We found the factors 27,30,68 . The biggest common factor number is the GCF number.
So the greatest common factor 27,30,68 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 637/27, 803/30, 668/68?
Answer: LCM of Numerators as per given numbers 637/27, 803/30, 668/68 is
LCM of Numerators i.e. for 637,803,668 is 341689348
GCF of denominators i.e. for 27,30,68 is 1.
Thus, LCM of Fractions is 341689348.Finally, LCM of Fractions for 637/27, 803/30, 668/68 is 341689348.