Given numbers are 430,107,283,728

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

The LCM of 430,107,283,728 is 4739582120.

Find LCM of 430,107,283,728 with Prime Factorization

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

2 x 215 x 107 x 283 x 364 = 4739582120

Therefore, the lowest common multiple of 430,107,283,728 is 4739582120.

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 107 x 283 x 728 = 9479164240

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

107 : 1, 107

283 : 1, 283

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 430,107,283,728, is 1.

Now, the common factors can be found like this.

430:2x 5x 43

107:107

283:283

728:2x 2x 2x 7x 13

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 = 9479164240/(1x2)

LCM = 9479164240/2

LCM = 4739582120

Thus, we can understand that the LCM of 430,107,283,728 is 4739582120.

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

• LCM of 416, 600, 356, 416
• LCM of 318, 986, 359, 128
• LCM of 625, 473, 400, 246
• LCM of 166, 400, 185, 636
• LCM of 463, 249, 816, 163

1. What is the LCM of 430, 107, 283, 728?

Answer: LCM of 430, 107, 283, 728 is 4739582120.

2. How to calculate the LCM of 430, 107, 283, 728?

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, 107, 283, 728.

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}.