Given numbers are 378,284,762,444,437

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

The LCM of 378,284,762,444,437 is 110221679988.

Find LCM of 378,284,762,444,437 with Prime Factorization

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

2 x 2 x 3 x 63 x 71 x 127 x 37 x 437 = 110221679988

Therefore, the lowest common multiple of 378,284,762,444,437 is 110221679988.

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.

378 x 284 x 762 x 444 x 437 = 15871921918272

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.

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

284 : 1, 2, 4, 71, 142, 284

762 : 1, 2, 3, 6, 127, 254, 381, 762

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

437 : 1, 19, 23, 437

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,284,762,444,437, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

284:2x 2x 71

762:2x 3x 127

444:2x 2x 3x 37

437:19x 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 3x 3 = 144

Therefore, the value for common factors is 144.

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 = 15871921918272/(1x144)

LCM = 15871921918272/144

LCM = 110221679988

Thus, we can understand that the LCM of 378,284,762,444,437 is 110221679988.

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

• LCM of 981, 165, 892, 698, 921
• LCM of 566, 900, 960, 801, 167
• LCM of 786, 629, 268, 716, 807
• LCM of 663, 979, 662, 184, 395
• LCM of 191, 491, 280, 408, 932

1. What is the LCM of 378, 284, 762, 444, 437?

Answer: LCM of 378, 284, 762, 444, 437 is 110221679988.

2. How to calculate the LCM of 378, 284, 762, 444, 437?

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 378, 284, 762, 444, 437.

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}.