Given numbers are 988,800,276,658

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

The LCM of 988,800,276,658 is 4485717600.

Find LCM of 988,800,276,658 with Prime Factorization

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

2 x 2 x 247 x 200 x 69 x 329 = 4485717600

Therefore, the lowest common multiple of 988,800,276,658 is 4485717600.

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.

988 x 800 x 276 x 658 = 143542963200

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.

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

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

658 : 1, 2, 7, 14, 47, 94, 329, 658

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 988,800,276,658, is 2.

Now, the common factors can be found like this.

988:2x 2x 13x 19

800:2x 2x 2x 2x 2x 5x 5

276:2x 2x 3x 23

658:2x 7x 47

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 2 = 16

Therefore, the value for common factors is 16.

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 = 143542963200/(2x16)

LCM = 143542963200/32

LCM = 4485717600

Thus, we can understand that the LCM of 988,800,276,658 is 4485717600.

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

• LCM of 278, 838, 476, 353
• LCM of 904, 723, 312, 138
• LCM of 507, 618, 590, 154
• LCM of 306, 627, 341, 167
• LCM of 343, 214, 260, 817

1. What is the LCM of 988, 800, 276, 658?

Answer: LCM of 988, 800, 276, 658 is 4485717600.

2. How to calculate the LCM of 988, 800, 276, 658?

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 988, 800, 276, 658.

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}.