Given numbers are 735,591,363

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

The LCM of 735,591,363 is 17520195.

Find LCM of 735,591,363 with Prime Factorization

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

3 x 245 x 197 x 121 = 17520195

Therefore, the lowest common multiple of 735,591,363 is 17520195.

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 591 x 363 = 157681755

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

591 : 1, 3, 197, 591

363 : 1, 3, 11, 33, 121, 363

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,591,363, is 3.

Now, the common factors can be found like this.

735:3x 5x 7x 7

591:3x 197

363:3x 11x 11

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

3 = 3

Therefore, the value for common factors is 3.

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 = 157681755/(3x3)

LCM = 157681755/9

LCM = 17520195

Thus, we can understand that the LCM of 735,591,363 is 17520195.

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

• LCM of 682, 327, 546
• LCM of 674, 991, 474
• LCM of 269, 262, 116
• LCM of 978, 587, 649
• LCM of 190, 570, 331

1. What is the LCM of 735, 591, 363?

Answer: LCM of 735, 591, 363 is 17520195.

2. How to calculate the LCM of 735, 591, 363?

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, 591, 363.

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}.