Given numbers are 550,585,524,565

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

The LCM of 550,585,524,565 is 1905146100.

Find LCM of 550,585,524,565 with Prime Factorization

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

2 x 5 x 55 x 117 x 262 x 113 = 1905146100

Therefore, the lowest common multiple of 550,585,524,565 is 1905146100.

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.

550 x 585 x 524 x 565 = 95257305000

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.

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

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

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 550,585,524,565, is 1.

Now, the common factors can be found like this.

550:2x 5x 5x 11

585:3x 3x 5x 13

524:2x 2x 131

565:5x 113

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

2x 5x 5 = 50

Therefore, the value for common factors is 50.

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 = 95257305000/(1x50)

LCM = 95257305000/50

LCM = 1905146100

Thus, we can understand that the LCM of 550,585,524,565 is 1905146100.

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

• LCM of 111, 903, 591, 105
• LCM of 682, 383, 399, 472
• LCM of 966, 592, 293, 564
• LCM of 371, 214, 532, 469
• LCM of 284, 962, 671, 193

1. What is the LCM of 550, 585, 524, 565?

Answer: LCM of 550, 585, 524, 565 is 1905146100.

2. How to calculate the LCM of 550, 585, 524, 565?

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 550, 585, 524, 565.

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}.