Given numbers are 393,202,505,364

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

The LCM of 393,202,505,364 is 72241260.

Find LCM of 393,202,505,364 with Prime Factorization

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

2 x 101 x 393 x 1 x 5 x 182 = 72241260

Therefore, the lowest common multiple of 393,202,505,364 is 72241260.

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.

393 x 202 x 505 x 364 = 14592734520

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.

393 : 1, 3, 131, 393

202 : 1, 2, 101, 202

505 : 1, 5, 101, 505

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,202,505,364, is 1.

Now, the common factors can be found like this.

393:3x 131

202:2x 101

505:5x 101

364:2x 2x 7x 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 101 = 202

Therefore, the value for common factors is 202.

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 = 14592734520/(1x202)

LCM = 14592734520/202

LCM = 72241260

Thus, we can understand that the LCM of 393,202,505,364 is 72241260.

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

• LCM of 155, 532, 276, 780
• LCM of 599, 499, 101, 108
• LCM of 870, 626, 832, 423
• LCM of 252, 441, 364, 865
• LCM of 828, 791, 487, 822

1. What is the LCM of 393, 202, 505, 364?

Answer: LCM of 393, 202, 505, 364 is 72241260.

2. How to calculate the LCM of 393, 202, 505, 364?

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 393, 202, 505, 364.

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}.