Given numbers are 288,988,296,690,252

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

The LCM of 288,988,296,690,252 is 2118785760.

Find LCM of 288,988,296,690,252 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 4 x 247 x 37 x 115 x 7 = 2118785760

Therefore, the lowest common multiple of 288,988,296,690,252 is 2118785760.

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 988 x 296 x 690 x 252 = 14645047173120

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

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

296 : 1, 2, 4, 8, 37, 74, 148, 296

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 288,988,296,690,252, is 2.

Now, the common factors can be found like this.

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

988:2x 2x 13x 19

296:2x 2x 2x 37

690:2x 3x 5x 23

252:2x 2x 3x 3x 7

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 3x 3x 3 = 3456

Therefore, the value for common factors is 3456.

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 = 14645047173120/(2x3456)

LCM = 14645047173120/6912

LCM = 2118785760

Thus, we can understand that the LCM of 288,988,296,690,252 is 2118785760.

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

• LCM of 628, 867, 800, 957, 285
• LCM of 932, 274, 262, 991, 596
• LCM of 611, 297, 688, 801, 855
• LCM of 405, 572, 790, 960, 510
• LCM of 897, 226, 529, 329, 658

1. What is the LCM of 288, 988, 296, 690, 252?

Answer: LCM of 288, 988, 296, 690, 252 is 2118785760.

2. How to calculate the LCM of 288, 988, 296, 690, 252?

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, 988, 296, 690, 252.

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}.