Given numbers are 864,202,688,742

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

The LCM of 864,202,688,742 is 1392122592.

Find LCM of 864,202,688,742 with Prime Factorization

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

2 x 2 x 2 x 2 x 54 x 101 x 43 x 371 = 1392122592

Therefore, the lowest common multiple of 864,202,688,742 is 1392122592.

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.

864 x 202 x 688 x 742 = 89095845888

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.

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

202 : 1, 2, 101, 202

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

742 : 1, 2, 7, 14, 53, 106, 371, 742

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 864,202,688,742, is 2.

Now, the common factors can be found like this.

864:2x 2x 2x 2x 2x 3x 3x 3

202:2x 101

688:2x 2x 2x 2x 43

742:2x 7x 53

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 2 = 32

Therefore, the value for common factors is 32.

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 = 89095845888/(2x32)

LCM = 89095845888/64

LCM = 1392122592

Thus, we can understand that the LCM of 864,202,688,742 is 1392122592.

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

• LCM of 754, 591, 863, 942
• LCM of 477, 547, 117, 571
• LCM of 251, 223, 234, 482
• LCM of 237, 349, 613, 660
• LCM of 162, 723, 205, 889

1. What is the LCM of 864, 202, 688, 742?

Answer: LCM of 864, 202, 688, 742 is 1392122592.

2. How to calculate the LCM of 864, 202, 688, 742?

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 864, 202, 688, 742.

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}.