Given numbers are 575,135,416,65

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

The LCM of 575,135,416,65 is 6458400.

Find LCM of 575,135,416,65 with Prime Factorization

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

5 x 13 x 115 x 27 x 32 x 1 = 6458400

Therefore, the lowest common multiple of 575,135,416,65 is 6458400.

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.

575 x 135 x 416 x 65 = 2098980000

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.

575 : 1, 5, 23, 25, 115, 575

135 : 1, 3, 5, 9, 15, 27, 45, 135

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

65 : 1, 5, 13, 65

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,135,416,65, is 1.

Now, the common factors can be found like this.

575:5x 5x 23

135:3x 3x 3x 5

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

65:5x 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 13 = 325

Therefore, the value for common factors is 325.

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 = 2098980000/(1x325)

LCM = 2098980000/325

LCM = 6458400

Thus, we can understand that the LCM of 575,135,416,65 is 6458400.

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

• LCM of 421, 589, 653, 67
• LCM of 629, 452, 351, 75
• LCM of 391, 978, 870, 50
• LCM of 294, 877, 938, 95
• LCM of 890, 889, 121, 11

1. What is the LCM of 575, 135, 416, 65?

Answer: LCM of 575, 135, 416, 65 is 6458400.

2. How to calculate the LCM of 575, 135, 416, 65?

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 575, 135, 416, 65.

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}.