Given numbers are 322,276,305,713

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

The LCM of 322,276,305,713 is 18267060.

Find LCM of 322,276,305,713 with Prime Factorization

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

2 x 23 x 7 x 6 x 305 x 31 = 18267060

Therefore, the lowest common multiple of 322,276,305,713 is 18267060.

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.

322 x 276 x 305 x 713 = 19326549480

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.

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

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

305 : 1, 5, 61, 305

713 : 1, 23, 31, 713

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 322,276,305,713, is 1.

Now, the common factors can be found like this.

322:2x 7x 23

276:2x 2x 3x 23

305:5x 61

713:23x 31

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

2x 23x 23 = 1058

Therefore, the value for common factors is 1058.

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 = 19326549480/(1x1058)

LCM = 19326549480/1058

LCM = 18267060

Thus, we can understand that the LCM of 322,276,305,713 is 18267060.

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

• LCM of 150, 177, 404, 165
• LCM of 156, 473, 484, 407
• LCM of 963, 815, 982, 264
• LCM of 492, 671, 783, 589
• LCM of 663, 148, 895, 730

1. What is the LCM of 322, 276, 305, 713?

Answer: LCM of 322, 276, 305, 713 is 18267060.

2. How to calculate the LCM of 322, 276, 305, 713?

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 322, 276, 305, 713.

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}.