Given numbers are 260,471,404,361

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

The LCM of 260,471,404,361 is 4465014060.

Find LCM of 260,471,404,361 with Prime Factorization

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

2 x 2 x 65 x 471 x 101 x 361 = 4465014060

Therefore, the lowest common multiple of 260,471,404,361 is 4465014060.

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 471 x 404 x 361 = 17860056240

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

471 : 1, 3, 157, 471

404 : 1, 2, 4, 101, 202, 404

361 : 1, 19, 361

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,471,404,361, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

471:3x 157

404:2x 2x 101

361:19x 19

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 17860056240/(1x4)

LCM = 17860056240/4

LCM = 4465014060

Thus, we can understand that the LCM of 260,471,404,361 is 4465014060.

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

• LCM of 854, 505, 242, 421
• LCM of 336, 399, 147, 947
• LCM of 682, 899, 434, 385
• LCM of 692, 598, 706, 472
• LCM of 696, 812, 105, 385

1. What is the LCM of 260, 471, 404, 361?

Answer: LCM of 260, 471, 404, 361 is 4465014060.

2. How to calculate the LCM of 260, 471, 404, 361?

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, 471, 404, 361.

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}.