Given numbers are 406,104,382,438

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

The LCM of 406,104,382,438 is 883093848.

Find LCM of 406,104,382,438 with Prime Factorization

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

2 x 203 x 52 x 191 x 219 = 883093848

Therefore, the lowest common multiple of 406,104,382,438 is 883093848.

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.

406 x 104 x 382 x 438 = 7064750784

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.

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

104 : 1, 2, 4, 8, 13, 26, 52, 104

382 : 1, 2, 191, 382

438 : 1, 2, 3, 6, 73, 146, 219, 438

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 406,104,382,438, is 2.

Now, the common factors can be found like this.

406:2x 7x 29

104:2x 2x 2x 13

382:2x 191

438:2x 3x 73

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 = 7064750784/(2x4)

LCM = 7064750784/8

LCM = 883093848

Thus, we can understand that the LCM of 406,104,382,438 is 883093848.

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

• LCM of 150, 648, 617, 128
• LCM of 916, 182, 274, 377
• LCM of 307, 173, 376, 690
• LCM of 662, 736, 289, 452
• LCM of 339, 695, 143, 986

1. What is the LCM of 406, 104, 382, 438?

Answer: LCM of 406, 104, 382, 438 is 883093848.

2. How to calculate the LCM of 406, 104, 382, 438?

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 406, 104, 382, 438.

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}.