Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 12/185, 474/570, 474/299 quickly i.e. 948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 12/185, 474/570, 474/299 is 948.
LCM(12/185, 474/570, 474/299) = 948
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 12/185,474/570,474/299
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 12,474,474
Least Common Multiple of Numerators i.e. LCM of 12,474,474 is 948.
GCF of Denominators means GCF of 185,570,299 as per the given fractions.
GCF of 185,570,299 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 12,474,474
2 | 12, 474, 474 |
3 | 6, 237, 237 |
79 | 2, 79, 79 |
2, 1, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 79 x 2 x 1 x 1 = 948
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 12,474,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,474,474) = 6
common factors(in case of two or more numbers have common factors) = 474
GCF(12,474,474) x common factors =6 x 474 = 2844
LCM(12,474,474) = ( 12 × 474 × 474 ) / 2844
LCM(12,474,474) = 2696112 / 2844
LCM(12,474,474) = 948
Lets's calculate GCF of 185,570,299
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 948/1
Therefore the LCM of Fractions 12/185,474/570,474/299 is 948
Factors of 185
List of positive integer factors of 185 that divides 185 without a remainder.
1,5,37,185
Factors of 570
List of positive integer factors of 570 that divides 570 without a remainder.
1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Greatest Common Factor
We found the factors 185,570,299 . The biggest common factor number is the GCF number.
So the greatest common factor 185,570,299 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 12/185, 474/570, 474/299?
Answer: LCM of Numerators as per given numbers 12/185, 474/570, 474/299 is
LCM of Numerators i.e. for 12,474,474 is 948
GCF of denominators i.e. for 185,570,299 is 1.
Thus, LCM of Fractions is 948.Finally, LCM of Fractions for 12/185, 474/570, 474/299 is 948.