Given numbers are 205,366,370,260,392

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

The LCM of 205,366,370,260,392 is 7073528280.

Find LCM of 205,366,370,260,392 with Prime Factorization

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

2 x 2 x 5 x 41 x 183 x 37 x 13 x 98 = 7073528280

Therefore, the lowest common multiple of 205,366,370,260,392 is 7073528280.

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.

205 x 366 x 370 x 260 x 392 = 2829411312000

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.

205 : 1, 5, 41, 205

366 : 1, 2, 3, 6, 61, 122, 183, 366

370 : 1, 2, 5, 10, 37, 74, 185, 370

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,366,370,260,392, is 1.

Now, the common factors can be found like this.

205:5x 41

366:2x 3x 61

370:2x 5x 37

260:2x 2x 5x 13

392:2x 2x 2x 7x 7

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 2x 5x 5 = 400

Therefore, the value for common factors is 400.

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 = 2829411312000/(1x400)

LCM = 2829411312000/400

LCM = 7073528280

Thus, we can understand that the LCM of 205,366,370,260,392 is 7073528280.

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

• LCM of 688, 572, 229, 634, 766
• LCM of 136, 231, 176, 897, 883
• LCM of 962, 121, 980, 952, 676
• LCM of 717, 464, 987, 598, 117
• LCM of 590, 396, 873, 190, 314

1. What is the LCM of 205, 366, 370, 260, 392?

Answer: LCM of 205, 366, 370, 260, 392 is 7073528280.

2. How to calculate the LCM of 205, 366, 370, 260, 392?

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 205, 366, 370, 260, 392.

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}.