Given numbers are 214,460,217,920,103

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

The LCM of 214,460,217,920,103 is 2200232440.

Find LCM of 214,460,217,920,103 with Prime Factorization

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

2 x 2 x 5 x 23 x 107 x 1 x 217 x 2 x 103 = 2200232440

Therefore, the lowest common multiple of 214,460,217,920,103 is 2200232440.

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 217 x 920 x 103 = 2024213844800

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

217 : 1, 7, 31, 217

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

103 : 1, 103

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,460,217,920,103, is 1.

Now, the common factors can be found like this.

214:2x 107

460:2x 2x 5x 23

217:7x 31

920:2x 2x 2x 5x 23

103:103

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 5x 23 = 920

Therefore, the value for common factors is 920.

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 = 2024213844800/(1x920)

LCM = 2024213844800/920

LCM = 2200232440

Thus, we can understand that the LCM of 214,460,217,920,103 is 2200232440.

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

• LCM of 137, 363, 173, 210, 563
• LCM of 897, 197, 943, 781, 654
• LCM of 630, 400, 682, 123, 501
• LCM of 418, 820, 284, 209, 477
• LCM of 864, 614, 776, 482, 854

1. What is the LCM of 214, 460, 217, 920, 103?

Answer: LCM of 214, 460, 217, 920, 103 is 2200232440.

2. How to calculate the LCM of 214, 460, 217, 920, 103?

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, 217, 920, 103.

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}.