Given numbers are 460,464,877

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

The LCM of 460,464,877 is 46796720.

Find LCM of 460,464,877 with Prime Factorization

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

2 x 2 x 115 x 116 x 877 = 46796720

Therefore, the lowest common multiple of 460,464,877 is 46796720.

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 464 x 877 = 187186880

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

464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464

877 : 1, 877

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,464,877, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

464:2x 2x 2x 2x 29

877:877

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 187186880/(1x4)

LCM = 187186880/4

LCM = 46796720

Thus, we can understand that the LCM of 460,464,877 is 46796720.

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

• LCM of 535, 914, 572
• LCM of 176, 528, 495
• LCM of 941, 343, 734
• LCM of 974, 311, 304
• LCM of 143, 439, 422

1. What is the LCM of 460, 464, 877?

Answer: LCM of 460, 464, 877 is 46796720.

2. How to calculate the LCM of 460, 464, 877?

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, 464, 877.

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}.