Given numbers are 260,692,271,262,396

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

The LCM of 260,692,271,262,396 is 158086663020.

Find LCM of 260,692,271,262,396 with Prime Factorization

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

2 x 2 x 65 x 173 x 271 x 131 x 99 = 158086663020

Therefore, the lowest common multiple of 260,692,271,262,396 is 158086663020.

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.

260 x 692 x 271 x 262 x 396 = 5058773216640

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.

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

692 : 1, 2, 4, 173, 346, 692

271 : 1, 271

262 : 1, 2, 131, 262

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,692,271,262,396, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

692:2x 2x 173

271:271

262:2x 131

396:2x 2x 3x 3x 11

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 2 = 32

Therefore, the value for common factors is 32.

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 = 5058773216640/(1x32)

LCM = 5058773216640/32

LCM = 158086663020

Thus, we can understand that the LCM of 260,692,271,262,396 is 158086663020.

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

• LCM of 594, 572, 349, 948, 128
• LCM of 269, 950, 137, 304, 355
• LCM of 251, 272, 913, 188, 349
• LCM of 929, 438, 144, 846, 479
• LCM of 319, 115, 378, 882, 786

1. What is the LCM of 260, 692, 271, 262, 396?

Answer: LCM of 260, 692, 271, 262, 396 is 158086663020.

2. How to calculate the LCM of 260, 692, 271, 262, 396?

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 260, 692, 271, 262, 396.

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}.