Given numbers are 557,413,251,385,720

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

The LCM of 557,413,251,385,720 is 457303104720.

Find LCM of 557,413,251,385,720 with Prime Factorization

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

5 x 7 x 557 x 59 x 251 x 11 x 144 = 457303104720

Therefore, the lowest common multiple of 557,413,251,385,720 is 457303104720.

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.

557 x 413 x 251 x 385 x 720 = 16005608665200

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.

557 : 1, 557

413 : 1, 7, 59, 413

251 : 1, 251

385 : 1, 5, 7, 11, 35, 55, 77, 385

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,413,251,385,720, is 1.

Now, the common factors can be found like this.

557:557

413:7x 59

251:251

385:5x 7x 11

720:2x 2x 2x 2x 3x 3x 5

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

5x 7 = 35

Therefore, the value for common factors is 35.

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 = 16005608665200/(1x35)

LCM = 16005608665200/35

LCM = 457303104720

Thus, we can understand that the LCM of 557,413,251,385,720 is 457303104720.

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

• LCM of 348, 838, 769, 764, 321
• LCM of 328, 938, 785, 568, 269
• LCM of 225, 589, 947, 772, 169
• LCM of 600, 489, 824, 393, 719
• LCM of 803, 900, 500, 967, 595

1. What is the LCM of 557, 413, 251, 385, 720?

Answer: LCM of 557, 413, 251, 385, 720 is 457303104720.

2. How to calculate the LCM of 557, 413, 251, 385, 720?

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 557, 413, 251, 385, 720.

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}.