Given numbers are 689,621,411,381,548

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

The LCM of 689,621,411,381,548 is 29777970924.

Find LCM of 689,621,411,381,548 with Prime Factorization

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

3 x 137 x 689 x 207 x 1 x 127 x 4 = 29777970924

Therefore, the lowest common multiple of 689,621,411,381,548 is 29777970924.

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.

689 x 621 x 411 x 381 x 548 = 36716238149292

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.

689 : 1, 13, 53, 689

621 : 1, 3, 9, 23, 27, 69, 207, 621

411 : 1, 3, 137, 411

381 : 1, 3, 127, 381

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,621,411,381,548, is 1.

Now, the common factors can be found like this.

689:13x 53

621:3x 3x 3x 23

411:3x 137

381:3x 127

548:2x 2x 137

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

3x 3x 137 = 1233

Therefore, the value for common factors is 1233.

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 = 36716238149292/(1x1233)

LCM = 36716238149292/1233

LCM = 29777970924

Thus, we can understand that the LCM of 689,621,411,381,548 is 29777970924.

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

• LCM of 679, 714, 282, 574, 150
• LCM of 347, 570, 569, 872, 457
• LCM of 957, 988, 361, 706, 395
• LCM of 879, 797, 556, 353, 505
• LCM of 285, 497, 746, 182, 922

1. What is the LCM of 689, 621, 411, 381, 548?

Answer: LCM of 689, 621, 411, 381, 548 is 29777970924.

2. How to calculate the LCM of 689, 621, 411, 381, 548?

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 689, 621, 411, 381, 548.

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}.