Given numbers are 681,381,546,900,468

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

The LCM of 681,381,546,900,468 is 2361095100.

Find LCM of 681,381,546,900,468 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 227 x 127 x 7 x 25 x 1 = 2361095100

Therefore, the lowest common multiple of 681,381,546,900,468 is 2361095100.

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.

681 x 381 x 546 x 900 x 468 = 59669595367200

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.

681 : 1, 3, 227, 681

381 : 1, 3, 127, 381

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 681,381,546,900,468, is 3.

Now, the common factors can be found like this.

681:3x 227

381:3x 127

546:2x 3x 7x 13

900:2x 2x 3x 3x 5x 5

468:2x 2x 3x 3x 13

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 3x 3x 3x 3x 13 = 8424

Therefore, the value for common factors is 8424.

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 = 59669595367200/(3x8424)

LCM = 59669595367200/25272

LCM = 2361095100

Thus, we can understand that the LCM of 681,381,546,900,468 is 2361095100.

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

• LCM of 655, 507, 296, 794, 787
• LCM of 553, 239, 794, 807, 401
• LCM of 856, 544, 441, 725, 967
• LCM of 486, 847, 907, 625, 728
• LCM of 757, 457, 724, 897, 181

1. What is the LCM of 681, 381, 546, 900, 468?

Answer: LCM of 681, 381, 546, 900, 468 is 2361095100.

2. How to calculate the LCM of 681, 381, 546, 900, 468?

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 681, 381, 546, 900, 468.

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}.