Given numbers are 561,201,717,920,988

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

The LCM of 561,201,717,920,988 is 2041363501320.

Find LCM of 561,201,717,920,988 with Prime Factorization

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

2 x 2 x 3 x 187 x 67 x 239 x 230 x 247 = 2041363501320

Therefore, the lowest common multiple of 561,201,717,920,988 is 2041363501320.

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.

561 x 201 x 717 x 920 x 988 = 73489086047520

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.

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

201 : 1, 3, 67, 201

717 : 1, 3, 239, 717

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,201,717,920,988, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

201:3x 67

717:3x 239

920:2x 2x 2x 5x 23

988:2x 2x 13x 19

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 73489086047520/(1x36)

LCM = 73489086047520/36

LCM = 2041363501320

Thus, we can understand that the LCM of 561,201,717,920,988 is 2041363501320.

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

• LCM of 146, 706, 836, 594, 218
• LCM of 658, 762, 156, 521, 199
• LCM of 270, 338, 907, 992, 875
• LCM of 552, 746, 404, 103, 661
• LCM of 986, 706, 995, 681, 996

1. What is the LCM of 561, 201, 717, 920, 988?

Answer: LCM of 561, 201, 717, 920, 988 is 2041363501320.

2. How to calculate the LCM of 561, 201, 717, 920, 988?

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 561, 201, 717, 920, 988.

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}.