Given numbers are 430,361,462

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

The LCM of 430,361,462 is 35858130.

Find LCM of 430,361,462 with Prime Factorization

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

2 x 215 x 361 x 231 = 35858130

Therefore, the lowest common multiple of 430,361,462 is 35858130.

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 361 x 462 = 71716260

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

361 : 1, 19, 361

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,361,462, is 1.

Now, the common factors can be found like this.

430:2x 5x 43

361:19x 19

462:2x 3x 7x 11

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

2 = 2

Therefore, the value for common factors is 2.

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 = 71716260/(1x2)

LCM = 71716260/2

LCM = 35858130

Thus, we can understand that the LCM of 430,361,462 is 35858130.

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

• LCM of 999, 323, 598
• LCM of 748, 107, 249
• LCM of 789, 914, 838
• LCM of 866, 674, 217
• LCM of 572, 228, 806

1. What is the LCM of 430, 361, 462?

Answer: LCM of 430, 361, 462 is 35858130.

2. How to calculate the LCM of 430, 361, 462?

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, 361, 462.

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}.