Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 937/12, 331/70, 633/480 quickly i.e. 196323051/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 937/12, 331/70, 633/480 is 196323051/2.
LCM(937/12, 331/70, 633/480) = 196323051/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 937/12,331/70,633/480
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 937,331,633
Least Common Multiple of Numerators i.e. LCM of 937,331,633 is 196323051.
GCF of Denominators means GCF of 12,70,480 as per the given fractions.
GCF of 12,70,480 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 937,331,633
Given numbers has no common factors except 1. So, there LCM is their product i.e 196323051
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 937,331,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,331,633) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,331,633) x common factors =1 x 1 = 1
LCM(937,331,633) = ( 937 × 331 × 633 ) / 1
LCM(937,331,633) = 196323051 / 1
LCM(937,331,633) = 196323051
Lets's calculate GCF of 12,70,480
2 | 12, 70, 480 |
6, 35, 240 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196323051/2
Therefore the LCM of Fractions 937/12,331/70,633/480 is 196323051/2
Factors of 12
List of positive integer factors of 12 that divides 12 without a remainder.
1,2,3,4,6,12
Factors of 70
List of positive integer factors of 70 that divides 70 without a remainder.
1,2,5,7,10,14,35,70
Factors of 480
List of positive integer factors of 480 that divides 480 without a remainder.
1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480
Greatest Common Factor
We found the factors 12,70,480 . The biggest common factor number is the GCF number.
So the greatest common factor 12,70,480 is 2.
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 937/12, 331/70, 633/480?
Answer: LCM of Numerators as per given numbers 937/12, 331/70, 633/480 is
LCM of Numerators i.e. for 937,331,633 is 196323051
GCF of denominators i.e. for 12,70,480 is 2.
Thus, LCM of Fractions is 196323051/2.Finally, LCM of Fractions for 937/12, 331/70, 633/480 is 196323051/2.