Given numbers are 323,610,513,146

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

The LCM of 323,610,513,146 is 388346130.

Find LCM of 323,610,513,146 with Prime Factorization

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

2 x 19 x 17 x 305 x 27 x 73 = 388346130

Therefore, the lowest common multiple of 323,610,513,146 is 388346130.

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.

323 x 610 x 513 x 146 = 14757152940

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.

323 : 1, 17, 19, 323

610 : 1, 2, 5, 10, 61, 122, 305, 610

513 : 1, 3, 9, 19, 27, 57, 171, 513

146 : 1, 2, 73, 146

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,610,513,146, is 1.

Now, the common factors can be found like this.

323:17x 19

610:2x 5x 61

513:3x 3x 3x 19

146:2x 73

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 14757152940/(1x38)

LCM = 14757152940/38

LCM = 388346130

Thus, we can understand that the LCM of 323,610,513,146 is 388346130.

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

• LCM of 496, 581, 227, 171
• LCM of 894, 112, 478, 407
• LCM of 716, 869, 182, 152
• LCM of 200, 809, 304, 863
• LCM of 281, 162, 546, 773

1. What is the LCM of 323, 610, 513, 146?

Answer: LCM of 323, 610, 513, 146 is 388346130.

2. How to calculate the LCM of 323, 610, 513, 146?

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 323, 610, 513, 146.

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}.