Given numbers are 13,29,50,56,561

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

The LCM of 13,29,50,56,561 is 296095800.

Find LCM of 13,29,50,56,561 with Prime Factorization

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

2 x 13 x 29 x 25 x 28 x 561 = 296095800

Therefore, the lowest common multiple of 13,29,50,56,561 is 296095800.

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.

13 x 29 x 50 x 56 x 561 = 592191600

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.

13 : 1, 13

29 : 1, 29

50 : 1, 2, 5, 10, 25, 50

56 : 1, 2, 4, 7, 8, 14, 28, 56

561 : 1, 3, 11, 17, 33, 51, 187, 561

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 13,29,50,56,561, is 1.

Now, the common factors can be found like this.

13:13

29:29

50:2x 5x 5

56:2x 2x 2x 7

561:3x 11x 17

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

2 = 2

Therefore, the value for common factors is 2.

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 = 592191600/(1x2)

LCM = 592191600/2

LCM = 296095800

Thus, we can understand that the LCM of 13,29,50,56,561 is 296095800.

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

• LCM of 79, 97, 82, 91, 521
• LCM of 86, 70, 46, 76, 195
• LCM of 20, 10, 14, 27, 803
• LCM of 98, 15, 64, 55, 321
• LCM of 21, 90, 79, 38, 802

1. What is the LCM of 13, 29, 50, 56, 561?

Answer: LCM of 13, 29, 50, 56, 561 is 296095800.

2. How to calculate the LCM of 13, 29, 50, 56, 561?

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 13, 29, 50, 56, 561.

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}.