Given numbers are 361,183,578,38

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

The LCM of 361,183,578,38 is 38184414.

Find LCM of 361,183,578,38 with Prime Factorization

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

2 x 19 x 1 x 183 x 289 x 19 = 38184414

Therefore, the lowest common multiple of 361,183,578,38 is 38184414.

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.

361 x 183 x 578 x 38 = 1451007732

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.

361 : 1, 19, 361

183 : 1, 3, 61, 183

578 : 1, 2, 17, 34, 289, 578

38 : 1, 2, 19, 38

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,183,578,38, is 1.

Now, the common factors can be found like this.

361:19x 19

183:3x 61

578:2x 17x 17

38:2x 19

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

2x 19 = 38

Therefore, the value for common factors is 38.

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 = 1451007732/(1x38)

LCM = 1451007732/38

LCM = 38184414

Thus, we can understand that the LCM of 361,183,578,38 is 38184414.

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

• LCM of 888, 717, 844, 53
• LCM of 178, 321, 301, 62
• LCM of 908, 107, 462, 93
• LCM of 188, 329, 936, 19
• LCM of 799, 980, 198, 69

1. What is the LCM of 361, 183, 578, 38?

Answer: LCM of 361, 183, 578, 38 is 38184414.

2. How to calculate the LCM of 361, 183, 578, 38?

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 361, 183, 578, 38.

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}.