Given numbers are 381,624,464,541

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

The LCM of 381,624,464,541 is 1243321872.

Find LCM of 381,624,464,541 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 127 x 13 x 29 x 541 = 1243321872

Therefore, the lowest common multiple of 381,624,464,541 is 1243321872.

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.

381 x 624 x 464 x 541 = 59679449856

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.

381 : 1, 3, 127, 381

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

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

541 : 1, 541

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,624,464,541, is 1.

Now, the common factors can be found like this.

381:3x 127

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

464:2x 2x 2x 2x 29

541:541

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 3 = 48

Therefore, the value for common factors is 48.

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 = 59679449856/(1x48)

LCM = 59679449856/48

LCM = 1243321872

Thus, we can understand that the LCM of 381,624,464,541 is 1243321872.

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

• LCM of 769, 387, 356, 300
• LCM of 794, 752, 843, 429
• LCM of 323, 118, 846, 326
• LCM of 977, 518, 981, 113
• LCM of 861, 790, 375, 188

1. What is the LCM of 381, 624, 464, 541?

Answer: LCM of 381, 624, 464, 541 is 1243321872.

2. How to calculate the LCM of 381, 624, 464, 541?

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 381, 624, 464, 541.

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}.