Given numbers are 867,832,700,400,772

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

The LCM of 867,832,700,400,772 is 24363393600.

Find LCM of 867,832,700,400,772 with Prime Factorization

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

2 x 2 x 2 x 2 x 5 x 5 x 867 x 52 x 7 x 1 x 193 = 24363393600

Therefore, the lowest common multiple of 867,832,700,400,772 is 24363393600.

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.

867 x 832 x 700 x 400 x 772 = 155925719040000

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.

867 : 1, 3, 17, 51, 289, 867

832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

772 : 1, 2, 4, 193, 386, 772

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,832,700,400,772, is 1.

Now, the common factors can be found like this.

867:3x 17x 17

832:2x 2x 2x 2x 2x 2x 13

700:2x 2x 5x 5x 7

400:2x 2x 2x 2x 5x 5

772:2x 2x 193

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 2x 2x 2x 5x 5 = 6400

Therefore, the value for common factors is 6400.

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 = 155925719040000/(1x6400)

LCM = 155925719040000/6400

LCM = 24363393600

Thus, we can understand that the LCM of 867,832,700,400,772 is 24363393600.

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

• LCM of 820, 307, 315, 455, 802
• LCM of 487, 287, 188, 624, 305
• LCM of 374, 936, 513, 253, 812
• LCM of 879, 941, 989, 809, 434
• LCM of 274, 314, 693, 673, 554

1. What is the LCM of 867, 832, 700, 400, 772?

Answer: LCM of 867, 832, 700, 400, 772 is 24363393600.

2. How to calculate the LCM of 867, 832, 700, 400, 772?

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 867, 832, 700, 400, 772.

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}.