Given numbers are 428,362,431,390

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 428,362,431,390 is 6510798060.

Find LCM of 428,362,431,390 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 214 x 181 x 431 x 195 = 6510798060

Therefore, the lowest common multiple of 428,362,431,390 is 6510798060.

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.

428 x 362 x 431 x 390 = 26043192240

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.

428 : 1, 2, 4, 107, 214, 428

362 : 1, 2, 181, 362

431 : 1, 431

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 428,362,431,390, is 1.

Now, the common factors can be found like this.

428:2x 2x 107

362:2x 181

431:431

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.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 26043192240/(1x4)

LCM = 26043192240/4

LCM = 6510798060

Thus, we can understand that the LCM of 428,362,431,390 is 6510798060.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 664, 812, 509, 661
• LCM of 945, 914, 225, 961
• LCM of 959, 155, 220, 467
• LCM of 929, 190, 104, 766
• LCM of 660, 685, 140, 821

1. What is the LCM of 428, 362, 431, 390?

Answer: LCM of 428, 362, 431, 390 is 6510798060.

2. How to calculate the LCM of 428, 362, 431, 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 428, 362, 431, 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}.