Given numbers are 367,207,104,170,506

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

The LCM of 367,207,104,170,506 is 7387225560.

Find LCM of 367,207,104,170,506 with Prime Factorization

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

2 x 23 x 367 x 9 x 52 x 85 x 11 = 7387225560

Therefore, the lowest common multiple of 367,207,104,170,506 is 7387225560.

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.

367 x 207 x 104 x 170 x 506 = 679624751520

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.

367 : 1, 367

207 : 1, 3, 9, 23, 69, 207

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

170 : 1, 2, 5, 10, 17, 34, 85, 170

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 367,207,104,170,506, is 1.

Now, the common factors can be found like this.

367:367

207:3x 3x 23

104:2x 2x 2x 13

170:2x 5x 17

506:2x 11x 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 23 = 92

Therefore, the value for common factors is 92.

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 = 679624751520/(1x92)

LCM = 679624751520/92

LCM = 7387225560

Thus, we can understand that the LCM of 367,207,104,170,506 is 7387225560.

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

• LCM of 563, 489, 990, 188, 794
• LCM of 429, 468, 719, 136, 620
• LCM of 148, 172, 957, 164, 198
• LCM of 710, 989, 413, 971, 832
• LCM of 448, 436, 821, 132, 799

1. What is the LCM of 367, 207, 104, 170, 506?

Answer: LCM of 367, 207, 104, 170, 506 is 7387225560.

2. How to calculate the LCM of 367, 207, 104, 170, 506?

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 367, 207, 104, 170, 506.

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}.