Given numbers are 565,170,173,385,715

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

The LCM of 565,170,173,385,715 is 3326653330.

Find LCM of 565,170,173,385,715 with Prime Factorization

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

5 x 11 x 113 x 34 x 173 x 7 x 13 = 3326653330

Therefore, the lowest common multiple of 565,170,173,385,715 is 3326653330.

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.

565 x 170 x 173 x 385 x 715 = 4574148328750

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.

565 : 1, 5, 113, 565

170 : 1, 2, 5, 10, 17, 34, 85, 170

173 : 1, 173

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

715 : 1, 5, 11, 13, 55, 65, 143, 715

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 565,170,173,385,715, is 1.

Now, the common factors can be found like this.

565:5x 113

170:2x 5x 17

173:173

385:5x 7x 11

715:5x 11x 13

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

5x 5x 5x 11 = 1375

Therefore, the value for common factors is 1375.

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 = 4574148328750/(1x1375)

LCM = 4574148328750/1375

LCM = 3326653330

Thus, we can understand that the LCM of 565,170,173,385,715 is 3326653330.

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

• LCM of 831, 861, 847, 248, 319
• LCM of 723, 908, 326, 845, 988
• LCM of 674, 938, 929, 971, 852
• LCM of 247, 407, 953, 508, 231
• LCM of 136, 290, 374, 442, 321

1. What is the LCM of 565, 170, 173, 385, 715?

Answer: LCM of 565, 170, 173, 385, 715 is 3326653330.

2. How to calculate the LCM of 565, 170, 173, 385, 715?

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 565, 170, 173, 385, 715.

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}.