Given numbers are 235,480,260,908,924

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

The LCM of 235,480,260,908,924 is 5126241120.

Find LCM of 235,480,260,908,924 with Prime Factorization

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

2 x 2 x 3 x 5 x 47 x 8 x 13 x 227 x 77 = 5126241120

Therefore, the lowest common multiple of 235,480,260,908,924 is 5126241120.

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.

235 x 480 x 260 x 908 x 924 = 24605957376000

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.

235 : 1, 5, 47, 235

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

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

908 : 1, 2, 4, 227, 454, 908

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,480,260,908,924, is 1.

Now, the common factors can be found like this.

235:5x 47

480:2x 2x 2x 2x 2x 3x 5

260:2x 2x 5x 13

908:2x 2x 227

924:2x 2x 3x 7x 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 2x 2x 3x 5x 5 = 4800

Therefore, the value for common factors is 4800.

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 = 24605957376000/(1x4800)

LCM = 24605957376000/4800

LCM = 5126241120

Thus, we can understand that the LCM of 235,480,260,908,924 is 5126241120.

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

• LCM of 421, 613, 722, 423, 775
• LCM of 811, 688, 200, 999, 188
• LCM of 190, 276, 591, 440, 190
• LCM of 237, 308, 812, 374, 623
• LCM of 418, 705, 590, 603, 421

1. What is the LCM of 235, 480, 260, 908, 924?

Answer: LCM of 235, 480, 260, 908, 924 is 5126241120.

2. How to calculate the LCM of 235, 480, 260, 908, 924?

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 235, 480, 260, 908, 924.

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}.