Given numbers are 214,460,936

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

The LCM of 214,460,936 is 11517480.

Find LCM of 214,460,936 with Prime Factorization

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

2 x 2 x 107 x 115 x 234 = 11517480

Therefore, the lowest common multiple of 214,460,936 is 11517480.

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 460 x 936 = 92139840

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

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,460,936, is 2.

Now, the common factors can be found like this.

214:2x 107

460:2x 2x 5x 23

936:2x 2x 2x 3x 3x 13

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 = 92139840/(2x4)

LCM = 92139840/8

LCM = 11517480

Thus, we can understand that the LCM of 214,460,936 is 11517480.

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

• LCM of 645, 919, 860
• LCM of 429, 617, 330
• LCM of 698, 848, 624
• LCM of 457, 632, 238
• LCM of 451, 384, 550

1. What is the LCM of 214, 460, 936?

Answer: LCM of 214, 460, 936 is 11517480.

2. How to calculate the LCM of 214, 460, 936?

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, 460, 936.

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}.