Given numbers are 523,122,571,378,496

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

The LCM of 523,122,571,378,496 is 1707698169072.

Find LCM of 523,122,571,378,496 with Prime Factorization

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

2 x 523 x 61 x 571 x 189 x 248 = 1707698169072

Therefore, the lowest common multiple of 523,122,571,378,496 is 1707698169072.

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 122 x 571 x 378 x 496 = 6830792676288

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

122 : 1, 2, 61, 122

571 : 1, 571

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,122,571,378,496, is 1.

Now, the common factors can be found like this.

523:523

122:2x 61

571:571

378:2x 3x 3x 3x 7

496:2x 2x 2x 2x 31

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 = 6830792676288/(1x4)

LCM = 6830792676288/4

LCM = 1707698169072

Thus, we can understand that the LCM of 523,122,571,378,496 is 1707698169072.

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

• LCM of 549, 682, 504, 132, 187
• LCM of 590, 307, 972, 341, 131
• LCM of 427, 126, 714, 979, 324
• LCM of 649, 900, 136, 479, 531
• LCM of 814, 727, 593, 517, 661

1. What is the LCM of 523, 122, 571, 378, 496?

Answer: LCM of 523, 122, 571, 378, 496 is 1707698169072.

2. How to calculate the LCM of 523, 122, 571, 378, 496?

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, 122, 571, 378, 496.

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}.