Given numbers are 507,162,289,268

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

The LCM of 507,162,289,268 is 1060240428.

Find LCM of 507,162,289,268 with Prime Factorization

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

2 x 3 x 169 x 27 x 289 x 134 = 1060240428

Therefore, the lowest common multiple of 507,162,289,268 is 1060240428.

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.

507 x 162 x 289 x 268 = 6361442568

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.

507 : 1, 3, 13, 39, 169, 507

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

289 : 1, 17, 289

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 507,162,289,268, is 1.

Now, the common factors can be found like this.

507:3x 13x 13

162:2x 3x 3x 3x 3

289:17x 17

268:2x 2x 67

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 6361442568/(1x6)

LCM = 6361442568/6

LCM = 1060240428

Thus, we can understand that the LCM of 507,162,289,268 is 1060240428.

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

• LCM of 116, 884, 820, 986
• LCM of 418, 417, 280, 606
• LCM of 300, 560, 112, 936
• LCM of 321, 793, 729, 599
• LCM of 333, 879, 924, 648

1. What is the LCM of 507, 162, 289, 268?

Answer: LCM of 507, 162, 289, 268 is 1060240428.

2. How to calculate the LCM of 507, 162, 289, 268?

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 507, 162, 289, 268.

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}.