Given numbers are 409,786,149,646,742

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

The LCM of 409,786,149,646,742 is 5739955882458.

Find LCM of 409,786,149,646,742 with Prime Factorization

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

2 x 409 x 393 x 149 x 323 x 371 = 5739955882458

Therefore, the lowest common multiple of 409,786,149,646,742 is 5739955882458.

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.

409 x 786 x 149 x 646 x 742 = 22959823529832

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.

409 : 1, 409

786 : 1, 2, 3, 6, 131, 262, 393, 786

149 : 1, 149

646 : 1, 2, 17, 19, 34, 38, 323, 646

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,786,149,646,742, is 1.

Now, the common factors can be found like this.

409:409

786:2x 3x 131

149:149

646:2x 17x 19

742:2x 7x 53

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 22959823529832/(1x4)

LCM = 22959823529832/4

LCM = 5739955882458

Thus, we can understand that the LCM of 409,786,149,646,742 is 5739955882458.

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

• LCM of 329, 479, 439, 408, 279
• LCM of 890, 947, 358, 479, 201
• LCM of 980, 679, 368, 684, 858
• LCM of 866, 887, 184, 426, 645
• LCM of 674, 943, 723, 676, 376

1. What is the LCM of 409, 786, 149, 646, 742?

Answer: LCM of 409, 786, 149, 646, 742 is 5739955882458.

2. How to calculate the LCM of 409, 786, 149, 646, 742?

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 409, 786, 149, 646, 742.

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}.