Given numbers are 690,107,560,460

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

The LCM of 690,107,560,460 is 4134480.

Find LCM of 690,107,560,460 with Prime Factorization

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

2 x 2 x 5 x 23 x 3 x 107 x 28 x 1 = 4134480

Therefore, the lowest common multiple of 690,107,560,460 is 4134480.

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.

690 x 107 x 560 x 460 = 19018608000

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.

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

107 : 1, 107

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

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 690,107,560,460, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

107:107

560:2x 2x 2x 2x 5x 7

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 2x 5x 5x 23 = 4600

Therefore, the value for common factors is 4600.

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 = 19018608000/(1x4600)

LCM = 19018608000/4600

LCM = 4134480

Thus, we can understand that the LCM of 690,107,560,460 is 4134480.

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

• LCM of 112, 669, 455, 902
• LCM of 790, 825, 846, 556
• LCM of 165, 806, 254, 605
• LCM of 452, 219, 304, 484
• LCM of 747, 323, 179, 906

1. What is the LCM of 690, 107, 560, 460?

Answer: LCM of 690, 107, 560, 460 is 4134480.

2. How to calculate the LCM of 690, 107, 560, 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 690, 107, 560, 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}.