Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 20/74, 912/21, 328/197 quickly i.e. 186960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 20/74, 912/21, 328/197 is 186960.
LCM(20/74, 912/21, 328/197) = 186960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 20/74,912/21,328/197
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 20,912,328
Least Common Multiple of Numerators i.e. LCM of 20,912,328 is 186960.
GCF of Denominators means GCF of 74,21,197 as per the given fractions.
GCF of 74,21,197 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 20,912,328
2 | 20, 912, 328 |
2 | 10, 456, 164 |
2 | 5, 228, 82 |
5, 114, 41 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 114 x 41 = 186960
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 20,912,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(20,912,328) = 4
common factors(in case of two or more numbers have common factors) = 8
GCF(20,912,328) x common factors =4 x 8 = 32
LCM(20,912,328) = ( 20 × 912 × 328 ) / 32
LCM(20,912,328) = 5982720 / 32
LCM(20,912,328) = 186960
Lets's calculate GCF of 74,21,197
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186960/1
Therefore the LCM of Fractions 20/74,912/21,328/197 is 186960
Factors of 74
List of positive integer factors of 74 that divides 74 without a remainder.
1,2,37,74
Factors of 21
List of positive integer factors of 21 that divides 21 without a remainder.
1,3,7,21
Factors of 197
List of positive integer factors of 197 that divides 197 without a remainder.
1,197
Greatest Common Factor
We found the factors 74,21,197 . The biggest common factor number is the GCF number.
So the greatest common factor 74,21,197 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 20/74, 912/21, 328/197?
Answer: LCM of Numerators as per given numbers 20/74, 912/21, 328/197 is
LCM of Numerators i.e. for 20,912,328 is 186960
GCF of denominators i.e. for 74,21,197 is 1.
Thus, LCM of Fractions is 186960.Finally, LCM of Fractions for 20/74, 912/21, 328/197 is 186960.