Given numbers are 409,736,782,138

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

The LCM of 409,736,782,138 is 15352224.

Find LCM of 409,736,782,138 with Prime Factorization

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

2 x 23 x 409 x 16 x 17 x 3 = 15352224

Therefore, the lowest common multiple of 409,736,782,138 is 15352224.

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 736 x 782 x 138 = 32485305984

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

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

782 : 1, 2, 17, 23, 34, 46, 391, 782

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,736,782,138, is 1.

Now, the common factors can be found like this.

409:409

736:2x 2x 2x 2x 2x 23

782:2x 17x 23

138:2x 3x 23

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 23x 23 = 2116

Therefore, the value for common factors is 2116.

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 = 32485305984/(1x2116)

LCM = 32485305984/2116

LCM = 15352224

Thus, we can understand that the LCM of 409,736,782,138 is 15352224.

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

• LCM of 560, 151, 100, 678
• LCM of 941, 663, 445, 672
• LCM of 304, 574, 907, 823
• LCM of 163, 514, 956, 704
• LCM of 635, 231, 723, 171

1. What is the LCM of 409, 736, 782, 138?

Answer: LCM of 409, 736, 782, 138 is 15352224.

2. How to calculate the LCM of 409, 736, 782, 138?

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, 736, 782, 138.

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}.