Given numbers are 900,769,506,966

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

The LCM of 900,769,506,966 is 1225709100.

Find LCM of 900,769,506,966 with Prime Factorization

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

2 x 3 x 23 x 150 x 769 x 11 x 7 = 1225709100

Therefore, the lowest common multiple of 900,769,506,966 is 1225709100.

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 769 x 506 x 966 = 338295711600

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

769 : 1, 769

506 : 1, 2, 11, 22, 23, 46, 253, 506

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 900,769,506,966, is 1.

Now, the common factors can be found like this.

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

769:769

506:2x 11x 23

966:2x 3x 7x 23

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 23 = 276

Therefore, the value for common factors is 276.

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 = 338295711600/(1x276)

LCM = 338295711600/276

LCM = 1225709100

Thus, we can understand that the LCM of 900,769,506,966 is 1225709100.

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

• LCM of 301, 852, 621, 457
• LCM of 763, 587, 719, 247
• LCM of 898, 328, 153, 834
• LCM of 372, 799, 908, 610
• LCM of 651, 482, 416, 367

1. What is the LCM of 900, 769, 506, 966?

Answer: LCM of 900, 769, 506, 966 is 1225709100.

2. How to calculate the LCM of 900, 769, 506, 966?

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, 769, 506, 966.

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}.