Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 43/480, 37/751, 941/336 quickly i.e. 1497131 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 43/480, 37/751, 941/336 is 1497131.
LCM(43/480, 37/751, 941/336) = 1497131
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 43/480,37/751,941/336
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 43,37,941
Least Common Multiple of Numerators i.e. LCM of 43,37,941 is 1497131.
GCF of Denominators means GCF of 480,751,336 as per the given fractions.
GCF of 480,751,336 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 43,37,941
Given numbers has no common factors except 1. So, there LCM is their product i.e 1497131
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 43,37,941 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(43,37,941) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(43,37,941) x common factors =1 x 1 = 1
LCM(43,37,941) = ( 43 × 37 × 941 ) / 1
LCM(43,37,941) = 1497131 / 1
LCM(43,37,941) = 1497131
Lets's calculate GCF of 480,751,336
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1497131/1
Therefore the LCM of Fractions 43/480,37/751,941/336 is 1497131
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
Factors of 751
List of positive integer factors of 751 that divides 751 without a remainder.
1,751
Factors of 336
List of positive integer factors of 336 that divides 336 without a remainder.
1,2,3,4,6,7,8,12,14,16,21,24,28,42,48,56,84,112,168,336
Greatest Common Factor
We found the factors 480,751,336 . The biggest common factor number is the GCF number.
So the greatest common factor 480,751,336 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 43/480, 37/751, 941/336?
Answer: LCM of Numerators as per given numbers 43/480, 37/751, 941/336 is
LCM of Numerators i.e. for 43,37,941 is 1497131
GCF of denominators i.e. for 480,751,336 is 1.
Thus, LCM of Fractions is 1497131.Finally, LCM of Fractions for 43/480, 37/751, 941/336 is 1497131.