Given numbers are 513,408,480,398

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

The LCM of 513,408,480,398 is 277676640.

Find LCM of 513,408,480,398 with Prime Factorization

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

2 x 2 x 2 x 3 x 171 x 17 x 20 x 199 = 277676640

Therefore, the lowest common multiple of 513,408,480,398 is 277676640.

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.

513 x 408 x 480 x 398 = 39985436160

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.

513 : 1, 3, 9, 19, 27, 57, 171, 513

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

398 : 1, 2, 199, 398

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 513,408,480,398, is 1.

Now, the common factors can be found like this.

513:3x 3x 3x 19

408:2x 2x 2x 3x 17

480:2x 2x 2x 2x 2x 3x 5

398:2x 199

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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 39985436160/(1x144)

LCM = 39985436160/144

LCM = 277676640

Thus, we can understand that the LCM of 513,408,480,398 is 277676640.

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

• LCM of 242, 711, 881, 899
• LCM of 227, 966, 834, 600
• LCM of 108, 859, 407, 310
• LCM of 857, 931, 570, 579
• LCM of 965, 836, 369, 308

1. What is the LCM of 513, 408, 480, 398?

Answer: LCM of 513, 408, 480, 398 is 277676640.

2. How to calculate the LCM of 513, 408, 480, 398?

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 513, 408, 480, 398.

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}.