Given numbers are 475,314,524,145,560

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

The LCM of 475,314,524,145,560 is 31730767600.

Find LCM of 475,314,524,145,560 with Prime Factorization

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

2 x 2 x 5 x 95 x 157 x 131 x 29 x 28 = 31730767600

Therefore, the lowest common multiple of 475,314,524,145,560 is 31730767600.

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.

475 x 314 x 524 x 145 x 560 = 6346153520000

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.

475 : 1, 5, 19, 25, 95, 475

314 : 1, 2, 157, 314

524 : 1, 2, 4, 131, 262, 524

145 : 1, 5, 29, 145

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 475,314,524,145,560, is 1.

Now, the common factors can be found like this.

475:5x 5x 19

314:2x 157

524:2x 2x 131

145:5x 29

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 5x 5 = 200

Therefore, the value for common factors is 200.

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 = 6346153520000/(1x200)

LCM = 6346153520000/200

LCM = 31730767600

Thus, we can understand that the LCM of 475,314,524,145,560 is 31730767600.

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

• LCM of 757, 813, 855, 642, 851
• LCM of 460, 820, 182, 523, 563
• LCM of 884, 923, 518, 891, 945
• LCM of 297, 508, 198, 552, 657
• LCM of 889, 755, 217, 295, 311

1. What is the LCM of 475, 314, 524, 145, 560?

Answer: LCM of 475, 314, 524, 145, 560 is 31730767600.

2. How to calculate the LCM of 475, 314, 524, 145, 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 475, 314, 524, 145, 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}.