Given numbers are 523,551,797,900,984

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

The LCM of 523,551,797,900,984 is 16949932417800.

Find LCM of 523,551,797,900,984 with Prime Factorization

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

2 x 2 x 3 x 523 x 551 x 797 x 75 x 82 = 16949932417800

Therefore, the lowest common multiple of 523,551,797,900,984 is 16949932417800.

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 551 x 797 x 900 x 984 = 203399189013600

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

551 : 1, 19, 29, 551

797 : 1, 797

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,551,797,900,984, is 1.

Now, the common factors can be found like this.

523:523

551:19x 29

797:797

900:2x 2x 3x 3x 5x 5

984:2x 2x 2x 3x 41

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 3 = 12

Therefore, the value for common factors is 12.

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 = 203399189013600/(1x12)

LCM = 203399189013600/12

LCM = 16949932417800

Thus, we can understand that the LCM of 523,551,797,900,984 is 16949932417800.

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

• LCM of 518, 681, 194, 470, 902
• LCM of 993, 800, 615, 579, 745
• LCM of 270, 399, 250, 493, 317
• LCM of 608, 807, 541, 783, 503
• LCM of 423, 765, 472, 162, 382

1. What is the LCM of 523, 551, 797, 900, 984?

Answer: LCM of 523, 551, 797, 900, 984 is 16949932417800.

2. How to calculate the LCM of 523, 551, 797, 900, 984?

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, 551, 797, 900, 984.

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}.