Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 120/19, 564/94, 334/973 quickly i.e. 941880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 120/19, 564/94, 334/973 is 941880.
LCM(120/19, 564/94, 334/973) = 941880
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 120/19,564/94,334/973
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 120,564,334
Least Common Multiple of Numerators i.e. LCM of 120,564,334 is 941880.
GCF of Denominators means GCF of 19,94,973 as per the given fractions.
GCF of 19,94,973 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 120,564,334
2 | 120, 564, 334 |
2 | 60, 282, 167 |
3 | 30, 141, 167 |
10, 47, 167 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 10 x 47 x 167 = 941880
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 120,564,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(120,564,334) = 2
common factors(in case of two or more numbers have common factors) = 12
GCF(120,564,334) x common factors =2 x 12 = 24
LCM(120,564,334) = ( 120 × 564 × 334 ) / 24
LCM(120,564,334) = 22605120 / 24
LCM(120,564,334) = 941880
Lets's calculate GCF of 19,94,973
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 941880/1
Therefore the LCM of Fractions 120/19,564/94,334/973 is 941880
Factors of 19
List of positive integer factors of 19 that divides 19 without a remainder.
1,19
Factors of 94
List of positive integer factors of 94 that divides 94 without a remainder.
1,2,47,94
Factors of 973
List of positive integer factors of 973 that divides 973 without a remainder.
1,7,139,973
Greatest Common Factor
We found the factors 19,94,973 . The biggest common factor number is the GCF number.
So the greatest common factor 19,94,973 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 120/19, 564/94, 334/973?
Answer: LCM of Numerators as per given numbers 120/19, 564/94, 334/973 is
LCM of Numerators i.e. for 120,564,334 is 941880
GCF of denominators i.e. for 19,94,973 is 1.
Thus, LCM of Fractions is 941880.Finally, LCM of Fractions for 120/19, 564/94, 334/973 is 941880.