Given numbers are 442,395,602,936,526

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

The LCM of 442,395,602,936,526 is 497558454120.

Find LCM of 442,395,602,936,526 with Prime Factorization

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

2 x 13 x 17 x 395 x 301 x 36 x 263 = 497558454120

Therefore, the lowest common multiple of 442,395,602,936,526 is 497558454120.

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.

442 x 395 x 602 x 936 x 526 = 51746079228480

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.

442 : 1, 2, 13, 17, 26, 34, 221, 442

395 : 1, 5, 79, 395

602 : 1, 2, 7, 14, 43, 86, 301, 602

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

526 : 1, 2, 263, 526

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,395,602,936,526, is 1.

Now, the common factors can be found like this.

442:2x 13x 17

395:5x 79

602:2x 7x 43

936:2x 2x 2x 3x 3x 13

526:2x 263

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 13 = 104

Therefore, the value for common factors is 104.

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 = 51746079228480/(1x104)

LCM = 51746079228480/104

LCM = 497558454120

Thus, we can understand that the LCM of 442,395,602,936,526 is 497558454120.

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

• LCM of 136, 770, 906, 857, 280
• LCM of 838, 921, 905, 953, 934
• LCM of 312, 152, 238, 572, 247
• LCM of 518, 292, 686, 536, 797
• LCM of 193, 937, 992, 507, 129

1. What is the LCM of 442, 395, 602, 936, 526?

Answer: LCM of 442, 395, 602, 936, 526 is 497558454120.

2. How to calculate the LCM of 442, 395, 602, 936, 526?

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 442, 395, 602, 936, 526.

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}.