Given numbers are 592,672,228,679,299

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

The LCM of 592,672,228,679,299 is 13701481248.

Find LCM of 592,672,228,679,299 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 7 x 37 x 2 x 19 x 97 x 299 = 13701481248

Therefore, the lowest common multiple of 592,672,228,679,299 is 13701481248.

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.

592 x 672 x 228 x 679 x 299 = 18414790797312

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.

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

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

679 : 1, 7, 97, 679

299 : 1, 13, 23, 299

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 592,672,228,679,299, is 1.

Now, the common factors can be found like this.

592:2x 2x 2x 2x 37

672:2x 2x 2x 2x 2x 3x 7

228:2x 2x 3x 19

679:7x 97

299:13x 23

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 3x 7 = 1344

Therefore, the value for common factors is 1344.

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 = 18414790797312/(1x1344)

LCM = 18414790797312/1344

LCM = 13701481248

Thus, we can understand that the LCM of 592,672,228,679,299 is 13701481248.

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

• LCM of 935, 317, 685, 689, 215
• LCM of 895, 850, 541, 818, 557
• LCM of 954, 500, 677, 843, 992
• LCM of 269, 449, 515, 760, 366
• LCM of 373, 836, 603, 717, 118

1. What is the LCM of 592, 672, 228, 679, 299?

Answer: LCM of 592, 672, 228, 679, 299 is 13701481248.

2. How to calculate the LCM of 592, 672, 228, 679, 299?

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 592, 672, 228, 679, 299.

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}.