Given numbers are 506,115,608,214,338

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

The LCM of 506,115,608,214,338 is 13907996960.

Find LCM of 506,115,608,214,338 with Prime Factorization

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

2 x 23 x 11 x 5 x 304 x 107 x 169 = 13907996960

Therefore, the lowest common multiple of 506,115,608,214,338 is 13907996960.

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 115 x 608 x 214 x 338 = 2559071440640

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

115 : 1, 5, 23, 115

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

214 : 1, 2, 107, 214

338 : 1, 2, 13, 26, 169, 338

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,115,608,214,338, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

115:5x 23

608:2x 2x 2x 2x 2x 19

214:2x 107

338:2x 13x 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 2x 2x 23 = 184

Therefore, the value for common factors is 184.

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 = 2559071440640/(1x184)

LCM = 2559071440640/184

LCM = 13907996960

Thus, we can understand that the LCM of 506,115,608,214,338 is 13907996960.

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

• LCM of 883, 266, 555, 810, 691
• LCM of 277, 169, 599, 783, 454
• LCM of 325, 610, 670, 648, 875
• LCM of 235, 828, 106, 233, 703
• LCM of 901, 948, 176, 520, 600

1. What is the LCM of 506, 115, 608, 214, 338?

Answer: LCM of 506, 115, 608, 214, 338 is 13907996960.

2. How to calculate the LCM of 506, 115, 608, 214, 338?

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, 115, 608, 214, 338.

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}.