Find the LCM of 390, 615, 597, 774 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 390, 615, 597, 774. So, keep reading to learn more.
Given numbers are 390,615,597,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,615,597,774 is 410479290.
Find LCM of 390,615,597,774 with Prime Factorization
2 | 390, 615, 597, 774 |
3 | 195, 615, 597, 387 |
5 | 65, 205, 199, 129 |
13, 41, 199, 129 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 41 x 199 x 129 = 410479290
Therefore, the lowest common multiple of 390,615,597,774 is 410479290.
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.
390 x 615 x 597 x 774 = 110829408300
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.
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
615 : 1, 3, 5, 15, 41, 123, 205, 615
597 : 1, 3, 199, 597
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,615,597,774, is 3.
Now, the common factors can be found like this.
390:2x 3x 5x 13
615:3x 5x 41
597:3x 199
774:2x 3x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5 = 90
Therefore, the value for common factors is 90.
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 = 110829408300/(3x90)
LCM = 110829408300/270
LCM = 410479290
Thus, we can understand that the LCM of 390,615,597,774 is 410479290.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 390, 615, 597, 774?
Answer: LCM of 390, 615, 597, 774 is 410479290.
2. How to calculate the LCM of 390, 615, 597, 774?
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 390, 615, 597, 774.
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}.