Given numbers are 900,681,327,366,777

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

The LCM of 900,681,327,366,777 is 351823191300.

Find LCM of 900,681,327,366,777 with Prime Factorization

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

2 x 3 x 150 x 227 x 109 x 61 x 259 = 351823191300

Therefore, the lowest common multiple of 900,681,327,366,777 is 351823191300.

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.

900 x 681 x 327 x 366 x 777 = 56995356990600

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.

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

681 : 1, 3, 227, 681

327 : 1, 3, 109, 327

366 : 1, 2, 3, 6, 61, 122, 183, 366

777 : 1, 3, 7, 21, 37, 111, 259, 777

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,681,327,366,777, is 3.

Now, the common factors can be found like this.

900:2x 2x 3x 3x 5x 5

681:3x 227

327:3x 109

366:2x 3x 61

777:3x 7x 37

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 3 = 54

Therefore, the value for common factors is 54.

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 = 56995356990600/(3x54)

LCM = 56995356990600/162

LCM = 351823191300

Thus, we can understand that the LCM of 900,681,327,366,777 is 351823191300.

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

• LCM of 380, 484, 382, 991, 334
• LCM of 683, 174, 697, 797, 589
• LCM of 928, 814, 853, 160, 101
• LCM of 249, 818, 424, 476, 429
• LCM of 456, 663, 156, 413, 432

1. What is the LCM of 900, 681, 327, 366, 777?

Answer: LCM of 900, 681, 327, 366, 777 is 351823191300.

2. How to calculate the LCM of 900, 681, 327, 366, 777?

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 900, 681, 327, 366, 777.

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}.