Given numbers are 286,180,758,106,173

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

The LCM of 286,180,758,106,173 is 89447812740.

Find LCM of 286,180,758,106,173 with Prime Factorization

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

2 x 143 x 90 x 379 x 53 x 173 = 89447812740

Therefore, the lowest common multiple of 286,180,758,106,173 is 89447812740.

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.

286 x 180 x 758 x 106 x 173 = 715582501920

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.

286 : 1, 2, 11, 13, 22, 26, 143, 286

180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

758 : 1, 2, 379, 758

106 : 1, 2, 53, 106

173 : 1, 173

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,180,758,106,173, is 1.

Now, the common factors can be found like this.

286:2x 11x 13

180:2x 2x 3x 3x 5

758:2x 379

106:2x 53

173:173

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 2 = 8

Therefore, the value for common factors is 8.

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 = 715582501920/(1x8)

LCM = 715582501920/8

LCM = 89447812740

Thus, we can understand that the LCM of 286,180,758,106,173 is 89447812740.

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

• LCM of 421, 749, 772, 767, 531
• LCM of 986, 650, 264, 479, 398
• LCM of 771, 662, 565, 251, 506
• LCM of 203, 931, 715, 883, 640
• LCM of 311, 467, 981, 248, 481

1. What is the LCM of 286, 180, 758, 106, 173?

Answer: LCM of 286, 180, 758, 106, 173 is 89447812740.

2. How to calculate the LCM of 286, 180, 758, 106, 173?

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 286, 180, 758, 106, 173.

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}.