Given numbers are 402,806,828,936

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

The LCM of 402,806,828,936 is 44713656.

Find LCM of 402,806,828,936 with Prime Factorization

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

2 x 2 x 3 x 3 x 13 x 67 x 31 x 23 x 2 = 44713656

Therefore, the lowest common multiple of 402,806,828,936 is 44713656.

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.

402 x 806 x 828 x 936 = 251111892096

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.

402 : 1, 2, 3, 6, 67, 134, 201, 402

806 : 1, 2, 13, 26, 31, 62, 403, 806

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 402,806,828,936, is 2.

Now, the common factors can be found like this.

402:2x 3x 67

806:2x 13x 31

828:2x 2x 3x 3x 23

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

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 3x 3x 3x 13 = 2808

Therefore, the value for common factors is 2808.

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 = 251111892096/(2x2808)

LCM = 251111892096/5616

LCM = 44713656

Thus, we can understand that the LCM of 402,806,828,936 is 44713656.

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

• LCM of 567, 332, 421, 991
• LCM of 222, 545, 462, 368
• LCM of 876, 162, 724, 361
• LCM of 937, 857, 604, 701
• LCM of 977, 312, 467, 101

1. What is the LCM of 402, 806, 828, 936?

Answer: LCM of 402, 806, 828, 936 is 44713656.

2. How to calculate the LCM of 402, 806, 828, 936?

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 402, 806, 828, 936.

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}.