Given numbers are 414,728,696,901,372

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

The LCM of 414,728,696,901,372 is 122063609304.

Find LCM of 414,728,696,901,372 with Prime Factorization

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

2 x 2 x 2 x 3 x 69 x 91 x 29 x 901 x 31 = 122063609304

Therefore, the lowest common multiple of 414,728,696,901,372 is 122063609304.

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.

414 x 728 x 696 x 901 x 372 = 70308638959104

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.

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

901 : 1, 17, 53, 901

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,728,696,901,372, is 1.

Now, the common factors can be found like this.

414:2x 3x 3x 23

728:2x 2x 2x 7x 13

696:2x 2x 2x 3x 29

901:17x 53

372:2x 2x 3x 31

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 3 = 576

Therefore, the value for common factors is 576.

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 = 70308638959104/(1x576)

LCM = 70308638959104/576

LCM = 122063609304

Thus, we can understand that the LCM of 414,728,696,901,372 is 122063609304.

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

• LCM of 830, 682, 888, 638, 256
• LCM of 986, 672, 462, 289, 217
• LCM of 602, 428, 992, 335, 241
• LCM of 659, 874, 370, 264, 506
• LCM of 346, 589, 637, 685, 521

1. What is the LCM of 414, 728, 696, 901, 372?

Answer: LCM of 414, 728, 696, 901, 372 is 122063609304.

2. How to calculate the LCM of 414, 728, 696, 901, 372?

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 414, 728, 696, 901, 372.

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}.