Given numbers are 506,328,733,214

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

The LCM of 506,328,733,214 is 6508518104.

Find LCM of 506,328,733,214 with Prime Factorization

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

2 x 253 x 164 x 733 x 107 = 6508518104

Therefore, the lowest common multiple of 506,328,733,214 is 6508518104.

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.

506 x 328 x 733 x 214 = 26034072416

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.

506 : 1, 2, 11, 22, 23, 46, 253, 506

328 : 1, 2, 4, 8, 41, 82, 164, 328

733 : 1, 733

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,328,733,214, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

328:2x 2x 2x 41

733:733

214:2x 107

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 = 26034072416/(1x4)

LCM = 26034072416/4

LCM = 6508518104

Thus, we can understand that the LCM of 506,328,733,214 is 6508518104.

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

• LCM of 601, 562, 345, 503
• LCM of 229, 148, 663, 245
• LCM of 518, 560, 382, 969
• LCM of 970, 112, 802, 362
• LCM of 302, 569, 428, 201

1. What is the LCM of 506, 328, 733, 214?

Answer: LCM of 506, 328, 733, 214 is 6508518104.

2. How to calculate the LCM of 506, 328, 733, 214?

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 506, 328, 733, 214.

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}.