Given numbers are 288,202,722,812

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

The LCM of 288,202,722,812 is 2131655904.

Find LCM of 288,202,722,812 with Prime Factorization

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

2 x 2 x 72 x 101 x 361 x 203 = 2131655904

Therefore, the lowest common multiple of 288,202,722,812 is 2131655904.

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.

288 x 202 x 722 x 812 = 34106494464

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.

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

202 : 1, 2, 101, 202

722 : 1, 2, 19, 38, 361, 722

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,202,722,812, is 2.

Now, the common factors can be found like this.

288:2x 2x 2x 2x 2x 3x 3

202:2x 101

722:2x 19x 19

812:2x 2x 7x 29

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 2 = 8

Therefore, the value for common factors is 8.

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 = 34106494464/(2x8)

LCM = 34106494464/16

LCM = 2131655904

Thus, we can understand that the LCM of 288,202,722,812 is 2131655904.

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

• LCM of 844, 681, 981, 867
• LCM of 898, 898, 160, 282
• LCM of 858, 735, 415, 538
• LCM of 916, 276, 773, 298
• LCM of 518, 712, 685, 115

1. What is the LCM of 288, 202, 722, 812?

Answer: LCM of 288, 202, 722, 812 is 2131655904.

2. How to calculate the LCM of 288, 202, 722, 812?

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 288, 202, 722, 812.

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}.