Given numbers are 920,512,460,919

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

The LCM of 920,512,460,919 is 54110720.

Find LCM of 920,512,460,919 with Prime Factorization

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

2 x 2 x 2 x 5 x 23 x 1 x 64 x 1 x 919 = 54110720

Therefore, the lowest common multiple of 920,512,460,919 is 54110720.

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.

920 x 512 x 460 x 919 = 199127449600

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

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

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,512,460,919, is 1.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

512:2x 2x 2x 2x 2x 2x 2x 2x 2

460:2x 2x 5x 23

919:919

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 2x 2x 5x 23 = 3680

Therefore, the value for common factors is 3680.

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 = 199127449600/(1x3680)

LCM = 199127449600/3680

LCM = 54110720

Thus, we can understand that the LCM of 920,512,460,919 is 54110720.

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

• LCM of 108, 404, 407, 228
• LCM of 179, 766, 748, 895
• LCM of 672, 219, 422, 427
• LCM of 747, 632, 361, 406
• LCM of 220, 818, 908, 520

1. What is the LCM of 920, 512, 460, 919?

Answer: LCM of 920, 512, 460, 919 is 54110720.

2. How to calculate the LCM of 920, 512, 460, 919?

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 920, 512, 460, 919.

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}.