Given numbers are 321,253,322,720

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

The LCM of 321,253,322,720 is 136437840.

Find LCM of 321,253,322,720 with Prime Factorization

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

2 x 3 x 23 x 107 x 11 x 7 x 120 = 136437840

Therefore, the lowest common multiple of 321,253,322,720 is 136437840.

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.

321 x 253 x 322 x 720 = 18828421920

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.

321 : 1, 3, 107, 321

253 : 1, 11, 23, 253

322 : 1, 2, 7, 14, 23, 46, 161, 322

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,253,322,720, is 1.

Now, the common factors can be found like this.

321:3x 107

253:11x 23

322:2x 7x 23

720:2x 2x 2x 2x 3x 3x 5

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

2x 3x 23 = 138

Therefore, the value for common factors is 138.

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 = 18828421920/(1x138)

LCM = 18828421920/138

LCM = 136437840

Thus, we can understand that the LCM of 321,253,322,720 is 136437840.

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

• LCM of 704, 979, 691, 794
• LCM of 907, 253, 557, 297
• LCM of 208, 136, 199, 462
• LCM of 810, 525, 601, 538
• LCM of 528, 733, 932, 191

1. What is the LCM of 321, 253, 322, 720?

Answer: LCM of 321, 253, 322, 720 is 136437840.

2. How to calculate the LCM of 321, 253, 322, 720?

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 321, 253, 322, 720.

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}.