Given numbers are 460,685,110,661

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

The LCM of 460,685,110,661 is 458218420.

Find LCM of 460,685,110,661 with Prime Factorization

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

2 x 5 x 46 x 137 x 11 x 661 = 458218420

Therefore, the lowest common multiple of 460,685,110,661 is 458218420.

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.

460 x 685 x 110 x 661 = 22910921000

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.

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

685 : 1, 5, 137, 685

110 : 1, 2, 5, 10, 11, 22, 55, 110

661 : 1, 661

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,685,110,661, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

685:5x 137

110:2x 5x 11

661:661

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

2x 5x 5 = 50

Therefore, the value for common factors is 50.

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 = 22910921000/(1x50)

LCM = 22910921000/50

LCM = 458218420

Thus, we can understand that the LCM of 460,685,110,661 is 458218420.

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

• LCM of 553, 738, 633, 725
• LCM of 451, 378, 248, 674
• LCM of 317, 748, 619, 984
• LCM of 187, 314, 200, 131
• LCM of 698, 309, 209, 854

1. What is the LCM of 460, 685, 110, 661?

Answer: LCM of 460, 685, 110, 661 is 458218420.

2. How to calculate the LCM of 460, 685, 110, 661?

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 460, 685, 110, 661.

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}.