Given numbers are 733,178,493,406

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

The LCM of 733,178,493,406 is 450265774.

Find LCM of 733,178,493,406 with Prime Factorization

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

2 x 29 x 733 x 89 x 17 x 7 = 450265774

Therefore, the lowest common multiple of 733,178,493,406 is 450265774.

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.

733 x 178 x 493 x 406 = 26115414892

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.

733 : 1, 733

178 : 1, 2, 89, 178

493 : 1, 17, 29, 493

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,178,493,406, is 1.

Now, the common factors can be found like this.

733:733

178:2x 89

493:17x 29

406:2x 7x 29

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

2x 29 = 58

Therefore, the value for common factors is 58.

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 = 26115414892/(1x58)

LCM = 26115414892/58

LCM = 450265774

Thus, we can understand that the LCM of 733,178,493,406 is 450265774.

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

• LCM of 735, 968, 875, 855
• LCM of 941, 861, 845, 799
• LCM of 676, 578, 986, 658
• LCM of 888, 614, 592, 186
• LCM of 580, 986, 650, 632

1. What is the LCM of 733, 178, 493, 406?

Answer: LCM of 733, 178, 493, 406 is 450265774.

2. How to calculate the LCM of 733, 178, 493, 406?

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 733, 178, 493, 406.

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}.