Given numbers are 735,383,962,174,432

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

The LCM of 735,383,962,174,432 is 565446707280.

Find LCM of 735,383,962,174,432 with Prime Factorization

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

2 x 3 x 245 x 383 x 481 x 29 x 72 = 565446707280

Therefore, the lowest common multiple of 735,383,962,174,432 is 565446707280.

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.

735 x 383 x 962 x 174 x 432 = 20356081462080

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

383 : 1, 383

962 : 1, 2, 13, 26, 37, 74, 481, 962

174 : 1, 2, 3, 6, 29, 58, 87, 174

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,383,962,174,432, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

383:383

962:2x 13x 37

174:2x 3x 29

432:2x 2x 2x 2x 3x 3x 3

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 = 20356081462080/(1x36)

LCM = 20356081462080/36

LCM = 565446707280

Thus, we can understand that the LCM of 735,383,962,174,432 is 565446707280.

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

• LCM of 549, 606, 704, 522, 846
• LCM of 188, 655, 263, 755, 876
• LCM of 906, 958, 265, 113, 852
• LCM of 713, 152, 812, 879, 536
• LCM of 139, 885, 873, 550, 576

1. What is the LCM of 735, 383, 962, 174, 432?

Answer: LCM of 735, 383, 962, 174, 432 is 565446707280.

2. How to calculate the LCM of 735, 383, 962, 174, 432?

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 735, 383, 962, 174, 432.

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}.