Given numbers are 561,651,207,288,662

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

The LCM of 561,651,207,288,662 is 88971242976.

Find LCM of 561,651,207,288,662 with Prime Factorization

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

2 x 3 x 3 x 187 x 217 x 23 x 16 x 331 = 88971242976

Therefore, the lowest common multiple of 561,651,207,288,662 is 88971242976.

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 651 x 207 x 288 x 662 = 14413341362112

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

651 : 1, 3, 7, 21, 31, 93, 217, 651

207 : 1, 3, 9, 23, 69, 207

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

662 : 1, 2, 331, 662

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,651,207,288,662, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

651:3x 7x 31

207:3x 3x 23

288:2x 2x 2x 2x 2x 3x 3

662:2x 331

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

2x 3x 3x 3x 3 = 162

Therefore, the value for common factors is 162.

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 = 14413341362112/(1x162)

LCM = 14413341362112/162

LCM = 88971242976

Thus, we can understand that the LCM of 561,651,207,288,662 is 88971242976.

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

• LCM of 175, 833, 517, 824, 816
• LCM of 547, 797, 704, 441, 748
• LCM of 594, 541, 643, 364, 918
• LCM of 705, 458, 174, 575, 554
• LCM of 563, 617, 895, 504, 744

1. What is the LCM of 561, 651, 207, 288, 662?

Answer: LCM of 561, 651, 207, 288, 662 is 88971242976.

2. How to calculate the LCM of 561, 651, 207, 288, 662?

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, 651, 207, 288, 662.

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}.