Given numbers are 624,489,344,884,228

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

The LCM of 624,489,344,884,228 is 1412677968.

Find LCM of 624,489,344,884,228 with Prime Factorization

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

2 x 2 x 2 x 3 x 13 x 2 x 163 x 43 x 17 x 19 = 1412677968

Therefore, the lowest common multiple of 624,489,344,884,228 is 1412677968.

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.

624 x 489 x 344 x 884 x 228 = 21156265248768

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.

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

489 : 1, 3, 163, 489

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

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 624,489,344,884,228, is 1.

Now, the common factors can be found like this.

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

489:3x 163

344:2x 2x 2x 43

884:2x 2x 13x 17

228:2x 2x 3x 19

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 13 = 14976

Therefore, the value for common factors is 14976.

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 = 21156265248768/(1x14976)

LCM = 21156265248768/14976

LCM = 1412677968

Thus, we can understand that the LCM of 624,489,344,884,228 is 1412677968.

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

• LCM of 824, 246, 354, 669, 147
• LCM of 335, 160, 607, 945, 117
• LCM of 601, 430, 810, 357, 772
• LCM of 405, 161, 230, 838, 390
• LCM of 520, 235, 164, 562, 644

1. What is the LCM of 624, 489, 344, 884, 228?

Answer: LCM of 624, 489, 344, 884, 228 is 1412677968.

2. How to calculate the LCM of 624, 489, 344, 884, 228?

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 624, 489, 344, 884, 228.

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}.