Given numbers are 766,441,638,624,633

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

The LCM of 766,441,638,624,633 is 2364687941616.

Find LCM of 766,441,638,624,633 with Prime Factorization

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

2 x 3 x 383 x 147 x 319 x 104 x 211 = 2364687941616

Therefore, the lowest common multiple of 766,441,638,624,633 is 2364687941616.

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.

766 x 441 x 638 x 624 x 633 = 85128765898176

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.

766 : 1, 2, 383, 766

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

638 : 1, 2, 11, 22, 29, 58, 319, 638

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

633 : 1, 3, 211, 633

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 766,441,638,624,633, is 1.

Now, the common factors can be found like this.

766:2x 383

441:3x 3x 7x 7

638:2x 11x 29

624:2x 2x 2x 2x 3x 13

633:3x 211

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 3 = 36

Therefore, the value for common factors is 36.

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 = 85128765898176/(1x36)

LCM = 85128765898176/36

LCM = 2364687941616

Thus, we can understand that the LCM of 766,441,638,624,633 is 2364687941616.

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

• LCM of 135, 303, 936, 524, 617
• LCM of 388, 123, 566, 791, 574
• LCM of 122, 419, 943, 846, 225
• LCM of 553, 383, 733, 478, 350
• LCM of 431, 121, 665, 978, 236

1. What is the LCM of 766, 441, 638, 624, 633?

Answer: LCM of 766, 441, 638, 624, 633 is 2364687941616.

2. How to calculate the LCM of 766, 441, 638, 624, 633?

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 766, 441, 638, 624, 633.

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}.