Given numbers are 381,540,921,466

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

The LCM of 381,540,921,466 is 4905595980.

Find LCM of 381,540,921,466 with Prime Factorization

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

2 x 3 x 127 x 90 x 307 x 233 = 4905595980

Therefore, the lowest common multiple of 381,540,921,466 is 4905595980.

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 540 x 921 x 466 = 88300727640

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

921 : 1, 3, 307, 921

466 : 1, 2, 233, 466

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,540,921,466, is 1.

Now, the common factors can be found like this.

381:3x 127

540:2x 2x 3x 3x 3x 5

921:3x 307

466:2x 233

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 88300727640/(1x18)

LCM = 88300727640/18

LCM = 4905595980

Thus, we can understand that the LCM of 381,540,921,466 is 4905595980.

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

• LCM of 595, 679, 819, 603
• LCM of 567, 540, 689, 158
• LCM of 561, 161, 255, 176
• LCM of 428, 110, 924, 742
• LCM of 247, 989, 294, 837

1. What is the LCM of 381, 540, 921, 466?

Answer: LCM of 381, 540, 921, 466 is 4905595980.

2. How to calculate the LCM of 381, 540, 921, 466?

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, 540, 921, 466.

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}.