Given numbers are 358,125,316,960,284

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

The LCM of 358,125,316,960,284 is 24096264000.

Find LCM of 358,125,316,960,284 with Prime Factorization

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

2 x 2 x 5 x 179 x 25 x 79 x 48 x 71 = 24096264000

Therefore, the lowest common multiple of 358,125,316,960,284 is 24096264000.

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.

358 x 125 x 316 x 960 x 284 = 3855402240000

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.

358 : 1, 2, 179, 358

125 : 1, 5, 25, 125

316 : 1, 2, 4, 79, 158, 316

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

284 : 1, 2, 4, 71, 142, 284

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,125,316,960,284, is 1.

Now, the common factors can be found like this.

358:2x 179

125:5x 5x 5

316:2x 2x 79

960:2x 2x 2x 2x 2x 2x 3x 5

284:2x 2x 71

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 2x 2x 2x 5 = 160

Therefore, the value for common factors is 160.

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 = 3855402240000/(1x160)

LCM = 3855402240000/160

LCM = 24096264000

Thus, we can understand that the LCM of 358,125,316,960,284 is 24096264000.

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

• LCM of 531, 615, 934, 270, 103
• LCM of 821, 587, 836, 679, 112
• LCM of 220, 152, 332, 131, 930
• LCM of 268, 869, 294, 299, 856
• LCM of 965, 990, 388, 503, 967

1. What is the LCM of 358, 125, 316, 960, 284?

Answer: LCM of 358, 125, 316, 960, 284 is 24096264000.

2. How to calculate the LCM of 358, 125, 316, 960, 284?

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 358, 125, 316, 960, 284.

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}.