Given numbers are 455,406,140,780

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

The LCM of 455,406,140,780 is 158340.

Find LCM of 455,406,140,780 with Prime Factorization

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

2 x 2 x 5 x 7 x 13 x 1 x 29 x 1 x 3 = 158340

Therefore, the lowest common multiple of 455,406,140,780 is 158340.

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.

455 x 406 x 140 x 780 = 20172516000

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.

455 : 1, 5, 7, 13, 35, 65, 91, 455

406 : 1, 2, 7, 14, 29, 58, 203, 406

140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 455,406,140,780, is 1.

Now, the common factors can be found like this.

455:5x 7x 13

406:2x 7x 29

140:2x 2x 5x 7

780:2x 2x 3x 5x 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 5x 5x 7x 7x 13 = 127400

Therefore, the value for common factors is 127400.

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 = 20172516000/(1x127400)

LCM = 20172516000/127400

LCM = 158340

Thus, we can understand that the LCM of 455,406,140,780 is 158340.

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

• LCM of 132, 219, 285, 644
• LCM of 385, 330, 269, 773
• LCM of 144, 831, 234, 999
• LCM of 555, 574, 349, 642
• LCM of 531, 665, 782, 183

1. What is the LCM of 455, 406, 140, 780?

Answer: LCM of 455, 406, 140, 780 is 158340.

2. How to calculate the LCM of 455, 406, 140, 780?

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 455, 406, 140, 780.

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}.