Given numbers are 561,680,207,266,294

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

The LCM of 561,680,207,266,294 is 1441523160.

Find LCM of 561,680,207,266,294 with Prime Factorization

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

2 x 3 x 7 x 17 x 11 x 20 x 69 x 19 x 7 = 1441523160

Therefore, the lowest common multiple of 561,680,207,266,294 is 1441523160.

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 680 x 207 x 266 x 294 = 6175485217440

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

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

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

266 : 1, 2, 7, 14, 19, 38, 133, 266

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,680,207,266,294, is 1.

Now, the common factors can be found like this.

561:3x 11x 17

680:2x 2x 2x 5x 17

207:3x 3x 23

266:2x 7x 19

294:2x 3x 7x 7

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 3x 7x 17 = 4284

Therefore, the value for common factors is 4284.

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 = 6175485217440/(1x4284)

LCM = 6175485217440/4284

LCM = 1441523160

Thus, we can understand that the LCM of 561,680,207,266,294 is 1441523160.

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

• LCM of 569, 545, 868, 659, 600
• LCM of 835, 823, 474, 932, 337
• LCM of 135, 344, 295, 936, 326
• LCM of 745, 588, 102, 515, 836
• LCM of 817, 890, 858, 634, 481

1. What is the LCM of 561, 680, 207, 266, 294?

Answer: LCM of 561, 680, 207, 266, 294 is 1441523160.

2. How to calculate the LCM of 561, 680, 207, 266, 294?

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, 680, 207, 266, 294.

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}.