Given numbers are 523,268,351,480,658

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

The LCM of 523,268,351,480,658 is 647439942240.

Find LCM of 523,268,351,480,658 with Prime Factorization

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

2 x 2 x 3 x 523 x 67 x 117 x 40 x 329 = 647439942240

Therefore, the lowest common multiple of 523,268,351,480,658 is 647439942240.

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.

523 x 268 x 351 x 480 x 658 = 15538558613760

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.

523 : 1, 523

268 : 1, 2, 4, 67, 134, 268

351 : 1, 3, 9, 13, 27, 39, 117, 351

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

658 : 1, 2, 7, 14, 47, 94, 329, 658

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,268,351,480,658, is 1.

Now, the common factors can be found like this.

523:523

268:2x 2x 67

351:3x 3x 3x 13

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

658:2x 7x 47

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 3 = 24

Therefore, the value for common factors is 24.

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 = 15538558613760/(1x24)

LCM = 15538558613760/24

LCM = 647439942240

Thus, we can understand that the LCM of 523,268,351,480,658 is 647439942240.

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

• LCM of 304, 831, 950, 544, 111
• LCM of 775, 155, 369, 544, 747
• LCM of 335, 733, 842, 932, 907
• LCM of 339, 370, 718, 800, 910
• LCM of 561, 686, 827, 320, 135

1. What is the LCM of 523, 268, 351, 480, 658?

Answer: LCM of 523, 268, 351, 480, 658 is 647439942240.

2. How to calculate the LCM of 523, 268, 351, 480, 658?

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 523, 268, 351, 480, 658.

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}.