Given numbers are 214,640,596

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

The LCM of 214,640,596 is 10203520.

Find LCM of 214,640,596 with Prime Factorization

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

2 x 2 x 107 x 160 x 149 = 10203520

Therefore, the lowest common multiple of 214,640,596 is 10203520.

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.

214 x 640 x 596 = 81628160

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.

214 : 1, 2, 107, 214

640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640

596 : 1, 2, 4, 149, 298, 596

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,640,596, is 2.

Now, the common factors can be found like this.

214:2x 107

640:2x 2x 2x 2x 2x 2x 2x 5

596:2x 2x 149

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 = 81628160/(2x4)

LCM = 81628160/8

LCM = 10203520

Thus, we can understand that the LCM of 214,640,596 is 10203520.

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

• LCM of 938, 736, 880
• LCM of 770, 877, 696
• LCM of 374, 165, 858
• LCM of 100, 763, 955
• LCM of 606, 439, 738

1. What is the LCM of 214, 640, 596?

Answer: LCM of 214, 640, 596 is 10203520.

2. How to calculate the LCM of 214, 640, 596?

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 214, 640, 596.

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}.