Given numbers are 577,416,390,560

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

The LCM of 577,416,390,560 is 25203360.

Find LCM of 577,416,390,560 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 13 x 577 x 2 x 3 x 7 = 25203360

Therefore, the lowest common multiple of 577,416,390,560 is 25203360.

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.

577 x 416 x 390 x 560 = 52422988800

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.

577 : 1, 577

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,416,390,560, is 1.

Now, the common factors can be found like this.

577:577

416:2x 2x 2x 2x 2x 13

390:2x 3x 5x 13

560:2x 2x 2x 2x 5x 7

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 13 = 2080

Therefore, the value for common factors is 2080.

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 = 52422988800/(1x2080)

LCM = 52422988800/2080

LCM = 25203360

Thus, we can understand that the LCM of 577,416,390,560 is 25203360.

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

• LCM of 496, 298, 167, 631
• LCM of 241, 476, 634, 364
• LCM of 584, 862, 751, 786
• LCM of 345, 929, 313, 347
• LCM of 511, 253, 773, 187

1. What is the LCM of 577, 416, 390, 560?

Answer: LCM of 577, 416, 390, 560 is 25203360.

2. How to calculate the LCM of 577, 416, 390, 560?

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 577, 416, 390, 560.

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}.