Given numbers are 430,377,492,406

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

The LCM of 430,377,492,406 is 279153420.

Find LCM of 430,377,492,406 with Prime Factorization

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

2 x 29 x 215 x 13 x 246 x 7 = 279153420

Therefore, the lowest common multiple of 430,377,492,406 is 279153420.

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.

430 x 377 x 492 x 406 = 32381796720

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.

430 : 1, 2, 5, 10, 43, 86, 215, 430

377 : 1, 13, 29, 377

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,377,492,406, is 1.

Now, the common factors can be found like this.

430:2x 5x 43

377:13x 29

492:2x 2x 3x 41

406:2x 7x 29

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 29 = 116

Therefore, the value for common factors is 116.

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 = 32381796720/(1x116)

LCM = 32381796720/116

LCM = 279153420

Thus, we can understand that the LCM of 430,377,492,406 is 279153420.

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

• LCM of 259, 207, 374, 933
• LCM of 886, 726, 593, 146
• LCM of 308, 495, 633, 534
• LCM of 861, 512, 961, 323
• LCM of 692, 669, 860, 304

1. What is the LCM of 430, 377, 492, 406?

Answer: LCM of 430, 377, 492, 406 is 279153420.

2. How to calculate the LCM of 430, 377, 492, 406?

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 430, 377, 492, 406.

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}.