Given numbers are 381,452,542,460

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

The LCM of 381,452,542,460 is 5366986980.

Find LCM of 381,452,542,460 with Prime Factorization

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

2 x 2 x 381 x 113 x 271 x 115 = 5366986980

Therefore, the lowest common multiple of 381,452,542,460 is 5366986980.

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 452 x 542 x 460 = 42935895840

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

452 : 1, 2, 4, 113, 226, 452

542 : 1, 2, 271, 542

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,452,542,460, is 1.

Now, the common factors can be found like this.

381:3x 127

452:2x 2x 113

542:2x 271

460:2x 2x 5x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 42935895840/(1x8)

LCM = 42935895840/8

LCM = 5366986980

Thus, we can understand that the LCM of 381,452,542,460 is 5366986980.

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

• LCM of 811, 695, 901, 649
• LCM of 133, 383, 172, 685
• LCM of 107, 824, 939, 493
• LCM of 561, 243, 679, 146
• LCM of 232, 271, 988, 493

1. What is the LCM of 381, 452, 542, 460?

Answer: LCM of 381, 452, 542, 460 is 5366986980.

2. How to calculate the LCM of 381, 452, 542, 460?

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, 452, 542, 460.

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}.