Given numbers are 258,996,282,128,624

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

The LCM of 258,996,282,128,624 is 837373056.

Find LCM of 258,996,282,128,624 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 43 x 83 x 47 x 8 x 13 = 837373056

Therefore, the lowest common multiple of 258,996,282,128,624 is 837373056.

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.

258 x 996 x 282 x 128 x 624 = 5787922563072

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.

258 : 1, 2, 3, 6, 43, 86, 129, 258

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

282 : 1, 2, 3, 6, 47, 94, 141, 282

128 : 1, 2, 4, 8, 16, 32, 64, 128

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,996,282,128,624, is 2.

Now, the common factors can be found like this.

258:2x 3x 43

996:2x 2x 3x 83

282:2x 3x 47

128:2x 2x 2x 2x 2x 2x 2

624:2x 2x 2x 2x 3x 13

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 = 5787922563072/(2x3456)

LCM = 5787922563072/6912

LCM = 837373056

Thus, we can understand that the LCM of 258,996,282,128,624 is 837373056.

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

• LCM of 682, 164, 588, 363, 369
• LCM of 344, 180, 969, 394, 514
• LCM of 464, 656, 716, 233, 308
• LCM of 158, 646, 890, 550, 798
• LCM of 205, 675, 516, 936, 664

1. What is the LCM of 258, 996, 282, 128, 624?

Answer: LCM of 258, 996, 282, 128, 624 is 837373056.

2. How to calculate the LCM of 258, 996, 282, 128, 624?

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 258, 996, 282, 128, 624.

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}.