Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 188/67, 955/30, 668/373 quickly i.e. 29983180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 188/67, 955/30, 668/373 is 29983180.
LCM(188/67, 955/30, 668/373) = 29983180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 188/67,955/30,668/373
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 188,955,668
Least Common Multiple of Numerators i.e. LCM of 188,955,668 is 29983180.
GCF of Denominators means GCF of 67,30,373 as per the given fractions.
GCF of 67,30,373 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 188,955,668
2 | 188, 955, 668 |
2 | 94, 955, 334 |
47, 955, 167 |
∴ So the LCM of the given numbers is 2 x 2 x 47 x 955 x 167 = 29983180
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 188,955,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,955,668) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(188,955,668) x common factors =1 x 4 = 4
LCM(188,955,668) = ( 188 × 955 × 668 ) / 4
LCM(188,955,668) = 119932720 / 4
LCM(188,955,668) = 29983180
Lets's calculate GCF of 67,30,373
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29983180/1
Therefore the LCM of Fractions 188/67,955/30,668/373 is 29983180
Factors of 67
List of positive integer factors of 67 that divides 67 without a remainder.
1,67
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 373
List of positive integer factors of 373 that divides 373 without a remainder.
1,373
Greatest Common Factor
We found the factors 67,30,373 . The biggest common factor number is the GCF number.
So the greatest common factor 67,30,373 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 188/67, 955/30, 668/373?
Answer: LCM of Numerators as per given numbers 188/67, 955/30, 668/373 is
LCM of Numerators i.e. for 188,955,668 is 29983180
GCF of denominators i.e. for 67,30,373 is 1.
Thus, LCM of Fractions is 29983180.Finally, LCM of Fractions for 188/67, 955/30, 668/373 is 29983180.