Given numbers are 392,406,161,364

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

The LCM of 392,406,161,364 is 3399032.

Find LCM of 392,406,161,364 with Prime Factorization

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

2 x 2 x 7 x 14 x 29 x 23 x 13 = 3399032

Therefore, the lowest common multiple of 392,406,161,364 is 3399032.

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.

392 x 406 x 161 x 364 = 9326943808

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.

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

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

161 : 1, 7, 23, 161

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

7 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,406,161,364, is 7.

Now, the common factors can be found like this.

392:2x 2x 2x 7x 7

406:2x 7x 29

161:7x 23

364:2x 2x 7x 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 7x 7 = 392

Therefore, the value for common factors is 392.

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 = 9326943808/(7x392)

LCM = 9326943808/2744

LCM = 3399032

Thus, we can understand that the LCM of 392,406,161,364 is 3399032.

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

• LCM of 890, 488, 953, 418
• LCM of 807, 250, 799, 807
• LCM of 638, 234, 865, 628
• LCM of 798, 644, 531, 952
• LCM of 469, 167, 196, 462

1. What is the LCM of 392, 406, 161, 364?

Answer: LCM of 392, 406, 161, 364 is 3399032.

2. How to calculate the LCM of 392, 406, 161, 364?

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 392, 406, 161, 364.

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}.