Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 412/744, 3129/782 quickly i.e. 644574 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 412/744, 3129/782 is 644574.
LCM(412/744, 3129/782) = 644574
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 412/744,3129/782
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 412,3129
Least Common Multiple of Numerators i.e. LCM of 412,3129 is 1289148.
GCF of Denominators means GCF of 744,782 as per the given fractions.
GCF of 744,782 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 412,3129
Given numbers has no common factors except 1. So, there LCM is their product i.e 1289148
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 412,3129 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(412,3129) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(412,3129) x common factors =1 x 1 = 1
LCM(412,3129) = ( 412 × 3129 ) / 1
LCM(412,3129) = 1289148 / 1
LCM(412,3129) = 1289148
Lets's calculate GCF of 744,782
2 | 744, 782 |
372, 391 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1289148/2
Therefore the LCM of Fractions 412/744,3129/782 is 644574
Factors of 744
List of positive integer factors of 744 that divides 744 without a remainder.
1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744
Factors of 782
List of positive integer factors of 782 that divides 782 without a remainder.
1,2,17,23,34,46,391,782
Greatest Common Factor
We found the factors 744,782 . The biggest common factor number is the GCF number.
So the greatest common factor 744,782 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 412/744, 3129/782?
Answer: LCM of Numerators as per given numbers 412/744, 3129/782 is
LCM of Numerators i.e. for 412,3129 is 1289148
GCF of denominators i.e. for 744,782 is 2.
Thus, LCM of Fractions is 644574.Finally, LCM of Fractions for 412/744, 3129/782 is 644574.