Given numbers are 824,840,508,621,201

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

The LCM of 824,840,508,621,201 is 152393126760.

Find LCM of 824,840,508,621,201 with Prime Factorization

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

2 x 2 x 2 x 3 x 103 x 35 x 127 x 207 x 67 = 152393126760

Therefore, the lowest common multiple of 824,840,508,621,201 is 152393126760.

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.

824 x 840 x 508 x 621 x 201 = 43889220506880

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.

824 : 1, 2, 4, 8, 103, 206, 412, 824

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

508 : 1, 2, 4, 127, 254, 508

621 : 1, 3, 9, 23, 27, 69, 207, 621

201 : 1, 3, 67, 201

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,840,508,621,201, is 1.

Now, the common factors can be found like this.

824:2x 2x 2x 103

840:2x 2x 2x 3x 5x 7

508:2x 2x 127

621:3x 3x 3x 23

201:3x 67

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 3x 3 = 288

Therefore, the value for common factors is 288.

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 = 43889220506880/(1x288)

LCM = 43889220506880/288

LCM = 152393126760

Thus, we can understand that the LCM of 824,840,508,621,201 is 152393126760.

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

• LCM of 528, 493, 455, 137, 313
• LCM of 109, 610, 595, 304, 799
• LCM of 546, 604, 996, 606, 231
• LCM of 623, 126, 486, 405, 858
• LCM of 696, 945, 628, 519, 417

1. What is the LCM of 824, 840, 508, 621, 201?

Answer: LCM of 824, 840, 508, 621, 201 is 152393126760.

2. How to calculate the LCM of 824, 840, 508, 621, 201?

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 824, 840, 508, 621, 201.

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}.