Given numbers are 782,612,854,260,229

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

The LCM of 782,612,854,260,229 is 89465578020.

Find LCM of 782,612,854,260,229 with Prime Factorization

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

2 x 2 x 17 x 23 x 9 x 427 x 65 x 229 = 89465578020

Therefore, the lowest common multiple of 782,612,854,260,229 is 89465578020.

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.

782 x 612 x 854 x 260 x 229 = 24334637221440

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.

782 : 1, 2, 17, 23, 34, 46, 391, 782

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

854 : 1, 2, 7, 14, 61, 122, 427, 854

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

229 : 1, 229

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,612,854,260,229, is 1.

Now, the common factors can be found like this.

782:2x 17x 23

612:2x 2x 3x 3x 17

854:2x 7x 61

260:2x 2x 5x 13

229:229

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 2x 2x 17 = 272

Therefore, the value for common factors is 272.

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 = 24334637221440/(1x272)

LCM = 24334637221440/272

LCM = 89465578020

Thus, we can understand that the LCM of 782,612,854,260,229 is 89465578020.

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

• LCM of 596, 301, 577, 609, 311
• LCM of 129, 904, 806, 760, 113
• LCM of 884, 283, 542, 143, 679
• LCM of 717, 351, 759, 485, 659
• LCM of 118, 404, 766, 314, 833

1. What is the LCM of 782, 612, 854, 260, 229?

Answer: LCM of 782, 612, 854, 260, 229 is 89465578020.

2. How to calculate the LCM of 782, 612, 854, 260, 229?

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 782, 612, 854, 260, 229.

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}.