Given numbers are 225,770,800,121,769

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

The LCM of 225,770,800,121,769 is 4689669600.

Find LCM of 225,770,800,121,769 with Prime Factorization

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

2 x 5 x 5 x 11 x 9 x 7 x 16 x 11 x 769 = 4689669600

Therefore, the lowest common multiple of 225,770,800,121,769 is 4689669600.

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.

225 x 770 x 800 x 121 x 769 = 12896591400000

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.

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

121 : 1, 11, 121

769 : 1, 769

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,770,800,121,769, is 1.

Now, the common factors can be found like this.

225:3x 3x 5x 5

770:2x 5x 7x 11

800:2x 2x 2x 2x 2x 5x 5

121:11x 11

769:769

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

2x 5x 5x 5x 11 = 2750

Therefore, the value for common factors is 2750.

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 = 12896591400000/(1x2750)

LCM = 12896591400000/2750

LCM = 4689669600

Thus, we can understand that the LCM of 225,770,800,121,769 is 4689669600.

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

• LCM of 143, 810, 869, 879, 482
• LCM of 134, 845, 663, 966, 946
• LCM of 580, 765, 773, 103, 759
• LCM of 664, 688, 567, 578, 767
• LCM of 279, 943, 626, 359, 228

1. What is the LCM of 225, 770, 800, 121, 769?

Answer: LCM of 225, 770, 800, 121, 769 is 4689669600.

2. How to calculate the LCM of 225, 770, 800, 121, 769?

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 225, 770, 800, 121, 769.

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}.