Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 30/947, 974/604, 712/362 quickly i.e. 5201160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 30/947, 974/604, 712/362 is 5201160.
LCM(30/947, 974/604, 712/362) = 5201160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 30/947,974/604,712/362
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 30,974,712
Least Common Multiple of Numerators i.e. LCM of 30,974,712 is 5201160.
GCF of Denominators means GCF of 947,604,362 as per the given fractions.
GCF of 947,604,362 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 30,974,712
2 | 30, 974, 712 |
15, 487, 356 |
∴ So the LCM of the given numbers is 2 x 15 x 487 x 356 = 5201160
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 30,974,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,974,712) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(30,974,712) x common factors =2 x 2 = 4
LCM(30,974,712) = ( 30 × 974 × 712 ) / 4
LCM(30,974,712) = 20804640 / 4
LCM(30,974,712) = 5201160
Lets's calculate GCF of 947,604,362
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5201160/1
Therefore the LCM of Fractions 30/947,974/604,712/362 is 5201160
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Factors of 604
List of positive integer factors of 604 that divides 604 without a remainder.
1,2,4,151,302,604
Factors of 362
List of positive integer factors of 362 that divides 362 without a remainder.
1,2,181,362
Greatest Common Factor
We found the factors 947,604,362 . The biggest common factor number is the GCF number.
So the greatest common factor 947,604,362 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 30/947, 974/604, 712/362?
Answer: LCM of Numerators as per given numbers 30/947, 974/604, 712/362 is
LCM of Numerators i.e. for 30,974,712 is 5201160
GCF of denominators i.e. for 947,604,362 is 1.
Thus, LCM of Fractions is 5201160.Finally, LCM of Fractions for 30/947, 974/604, 712/362 is 5201160.