Find the LCM of 743, 325, 425, 390 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 743, 325, 425, 390. So, keep reading to learn more.
Given numbers are 743,325,425,390
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 743,325,425,390 is 24630450.
Find LCM of 743,325,425,390 with Prime Factorization
5 | 743, 325, 425, 390 |
5 | 743, 65, 85, 78 |
13 | 743, 13, 17, 78 |
743, 1, 17, 6 |
Multiply the prime numbers at the bottom and the left side.
5 x 5 x 13 x 743 x 1 x 17 x 6 = 24630450
Therefore, the lowest common multiple of 743,325,425,390 is 24630450.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
743 x 325 x 425 x 390 = 40024481250
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
743 : 1, 743
325 : 1, 5, 13, 25, 65, 325
425 : 1, 5, 17, 25, 85, 425
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 743,325,425,390, is 1.
Now, the common factors can be found like this.
743:743
325:5x 5x 13
425:5x 5x 17
390:2x 3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 5x 13 = 1625
Therefore, the value for common factors is 1625.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 40024481250/(1x1625)
LCM = 40024481250/1625
LCM = 24630450
Thus, we can understand that the LCM of 743,325,425,390 is 24630450.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 743, 325, 425, 390?
Answer: LCM of 743, 325, 425, 390 is 24630450.
2. How to calculate the LCM of 743, 325, 425, 390?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 743, 325, 425, 390.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.