Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 132/70, 244/37, 387/939 quickly i.e. 1038708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 132/70, 244/37, 387/939 is 1038708.
LCM(132/70, 244/37, 387/939) = 1038708
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 132/70,244/37,387/939
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 132,244,387
Least Common Multiple of Numerators i.e. LCM of 132,244,387 is 1038708.
GCF of Denominators means GCF of 70,37,939 as per the given fractions.
GCF of 70,37,939 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 132,244,387
2 | 132, 244, 387 |
2 | 66, 122, 387 |
3 | 33, 61, 387 |
11, 61, 129 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 61 x 129 = 1038708
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 132,244,387 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(132,244,387) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(132,244,387) x common factors =1 x 12 = 12
LCM(132,244,387) = ( 132 × 244 × 387 ) / 12
LCM(132,244,387) = 12464496 / 12
LCM(132,244,387) = 1038708
Lets's calculate GCF of 70,37,939
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1038708/1
Therefore the LCM of Fractions 132/70,244/37,387/939 is 1038708
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 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Greatest Common Factor
We found the factors 70,37,939 . The biggest common factor number is the GCF number.
So the greatest common factor 70,37,939 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 132/70, 244/37, 387/939?
Answer: LCM of Numerators as per given numbers 132/70, 244/37, 387/939 is
LCM of Numerators i.e. for 132,244,387 is 1038708
GCF of denominators i.e. for 70,37,939 is 1.
Thus, LCM of Fractions is 1038708.Finally, LCM of Fractions for 132/70, 244/37, 387/939 is 1038708.