Given numbers are 380,624,248,753

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

The LCM of 380,624,248,753 is 461257680.

Find LCM of 380,624,248,753 with Prime Factorization

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

2 x 2 x 2 x 3 x 95 x 26 x 31 x 251 = 461257680

Therefore, the lowest common multiple of 380,624,248,753 is 461257680.

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 624 x 248 x 753 = 44280737280

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

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

248 : 1, 2, 4, 8, 31, 62, 124, 248

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,624,248,753, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

624:2x 2x 2x 2x 3x 13

248:2x 2x 2x 31

753:3x 251

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 3 = 96

Therefore, the value for common factors is 96.

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 = 44280737280/(1x96)

LCM = 44280737280/96

LCM = 461257680

Thus, we can understand that the LCM of 380,624,248,753 is 461257680.

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

• LCM of 467, 773, 432, 674
• LCM of 310, 503, 790, 193
• LCM of 955, 371, 466, 355
• LCM of 607, 548, 285, 275
• LCM of 460, 491, 454, 404

1. What is the LCM of 380, 624, 248, 753?

Answer: LCM of 380, 624, 248, 753 is 461257680.

2. How to calculate the LCM of 380, 624, 248, 753?

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, 624, 248, 753.

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}.