Given numbers are 380,312,993,936,247

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

The LCM of 380,312,993,936,247 is 29432520.

Find LCM of 380,312,993,936,247 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 19 x 5 x 1 x 331 x 3 x 1 = 29432520

Therefore, the lowest common multiple of 380,312,993,936,247 is 29432520.

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.

380 x 312 x 993 x 936 x 247 = 27218252655360

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.

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

993 : 1, 3, 331, 993

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

247 : 1, 13, 19, 247

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,312,993,936,247, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

312:2x 2x 2x 3x 13

993:3x 331

936:2x 2x 2x 3x 3x 13

247:13x 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 2x 2x 2x 2x 3x 3x 13x 13x 19 = 924768

Therefore, the value for common factors is 924768.

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 = 27218252655360/(1x924768)

LCM = 27218252655360/924768

LCM = 29432520

Thus, we can understand that the LCM of 380,312,993,936,247 is 29432520.

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

• LCM of 549, 503, 215, 630, 294
• LCM of 692, 835, 623, 423, 296
• LCM of 513, 251, 340, 814, 591
• LCM of 561, 540, 715, 116, 810
• LCM of 200, 137, 958, 750, 928

1. What is the LCM of 380, 312, 993, 936, 247?

Answer: LCM of 380, 312, 993, 936, 247 is 29432520.

2. How to calculate the LCM of 380, 312, 993, 936, 247?

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 380, 312, 993, 936, 247.

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}.