Given numbers are 733,284,610,202,312

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

The LCM of 733,284,610,202,312 is 500193599880.

Find LCM of 733,284,610,202,312 with Prime Factorization

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

2 x 2 x 733 x 71 x 305 x 101 x 78 = 500193599880

Therefore, the lowest common multiple of 733,284,610,202,312 is 500193599880.

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 284 x 610 x 202 x 312 = 8003097598080

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

284 : 1, 2, 4, 71, 142, 284

610 : 1, 2, 5, 10, 61, 122, 305, 610

202 : 1, 2, 101, 202

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 733,284,610,202,312, is 1.

Now, the common factors can be found like this.

733:733

284:2x 2x 71

610:2x 5x 61

202:2x 101

312:2x 2x 2x 3x 13

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 8003097598080/(1x16)

LCM = 8003097598080/16

LCM = 500193599880

Thus, we can understand that the LCM of 733,284,610,202,312 is 500193599880.

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

• LCM of 376, 166, 390, 945, 319
• LCM of 192, 525, 619, 337, 115
• LCM of 520, 122, 483, 176, 784
• LCM of 747, 451, 692, 759, 816
• LCM of 363, 870, 435, 432, 190

1. What is the LCM of 733, 284, 610, 202, 312?

Answer: LCM of 733, 284, 610, 202, 312 is 500193599880.

2. How to calculate the LCM of 733, 284, 610, 202, 312?

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, 284, 610, 202, 312.

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}.