Given numbers are 429,298,458,646

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

The LCM of 429,298,458,646 is 9456089214.

Find LCM of 429,298,458,646 with Prime Factorization

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

2 x 429 x 149 x 229 x 323 = 9456089214

Therefore, the lowest common multiple of 429,298,458,646 is 9456089214.

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.

429 x 298 x 458 x 646 = 37824356856

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.

429 : 1, 3, 11, 13, 33, 39, 143, 429

298 : 1, 2, 149, 298

458 : 1, 2, 229, 458

646 : 1, 2, 17, 19, 34, 38, 323, 646

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,298,458,646, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

298:2x 149

458:2x 229

646:2x 17x 19

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 = 37824356856/(1x4)

LCM = 37824356856/4

LCM = 9456089214

Thus, we can understand that the LCM of 429,298,458,646 is 9456089214.

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

• LCM of 308, 409, 423, 682
• LCM of 195, 833, 737, 179
• LCM of 900, 437, 719, 496
• LCM of 669, 235, 858, 826
• LCM of 886, 413, 623, 552

1. What is the LCM of 429, 298, 458, 646?

Answer: LCM of 429, 298, 458, 646 is 9456089214.

2. How to calculate the LCM of 429, 298, 458, 646?

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 429, 298, 458, 646.

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}.