Given numbers are 420,552,460,281

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

The LCM of 420,552,460,281 is 5428920.

Find LCM of 420,552,460,281 with Prime Factorization

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

2 x 2 x 3 x 5 x 23 x 7 x 2 x 1 x 281 = 5428920

Therefore, the lowest common multiple of 420,552,460,281 is 5428920.

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.

420 x 552 x 460 x 281 = 29967638400

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

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

281 : 1, 281

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,552,460,281, is 1.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

552:2x 2x 2x 3x 23

460:2x 2x 5x 23

281:281

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 3x 5x 23 = 5520

Therefore, the value for common factors is 5520.

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 = 29967638400/(1x5520)

LCM = 29967638400/5520

LCM = 5428920

Thus, we can understand that the LCM of 420,552,460,281 is 5428920.

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

• LCM of 458, 614, 463, 484
• LCM of 991, 522, 879, 596
• LCM of 822, 985, 619, 637
• LCM of 993, 287, 926, 339
• LCM of 773, 833, 667, 422

1. What is the LCM of 420, 552, 460, 281?

Answer: LCM of 420, 552, 460, 281 is 5428920.

2. How to calculate the LCM of 420, 552, 460, 281?

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 420, 552, 460, 281.

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}.