Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 72/12, 516/77, 297/190 quickly i.e. 102168 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 72/12, 516/77, 297/190 is 102168.
LCM(72/12, 516/77, 297/190) = 102168
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 72/12,516/77,297/190
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 72,516,297
Least Common Multiple of Numerators i.e. LCM of 72,516,297 is 102168.
GCF of Denominators means GCF of 12,77,190 as per the given fractions.
GCF of 12,77,190 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 72,516,297
2 | 72, 516, 297 |
2 | 36, 258, 297 |
3 | 18, 129, 297 |
3 | 6, 43, 99 |
2, 43, 33 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 2 x 43 x 33 = 102168
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 72,516,297 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(72,516,297) = 3
common factors(in case of two or more numbers have common factors) = 36
GCF(72,516,297) x common factors =3 x 36 = 108
LCM(72,516,297) = ( 72 × 516 × 297 ) / 108
LCM(72,516,297) = 11034144 / 108
LCM(72,516,297) = 102168
Lets's calculate GCF of 12,77,190
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 102168/1
Therefore the LCM of Fractions 72/12,516/77,297/190 is 102168
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 77
List of positive integer factors of 77 that divides 77 without a remainder.
1,7,11,77
Factors of 190
List of positive integer factors of 190 that divides 190 without a remainder.
1,2,5,10,19,38,95,190
Greatest Common Factor
We found the factors 12,77,190 . The biggest common factor number is the GCF number.
So the greatest common factor 12,77,190 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 72/12, 516/77, 297/190?
Answer: LCM of Numerators as per given numbers 72/12, 516/77, 297/190 is
LCM of Numerators i.e. for 72,516,297 is 102168
GCF of denominators i.e. for 12,77,190 is 1.
Thus, LCM of Fractions is 102168.Finally, LCM of Fractions for 72/12, 516/77, 297/190 is 102168.