Given numbers are 692,377,414,388

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

The LCM of 692,377,414,388 is 5238289836.

Find LCM of 692,377,414,388 with Prime Factorization

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

2 x 2 x 173 x 377 x 207 x 97 = 5238289836

Therefore, the lowest common multiple of 692,377,414,388 is 5238289836.

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.

692 x 377 x 414 x 388 = 41906318688

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.

692 : 1, 2, 4, 173, 346, 692

377 : 1, 13, 29, 377

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

388 : 1, 2, 4, 97, 194, 388

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,377,414,388, is 1.

Now, the common factors can be found like this.

692:2x 2x 173

377:13x 29

414:2x 3x 3x 23

388:2x 2x 97

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 2 = 8

Therefore, the value for common factors is 8.

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 = 41906318688/(1x8)

LCM = 41906318688/8

LCM = 5238289836

Thus, we can understand that the LCM of 692,377,414,388 is 5238289836.

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

• LCM of 910, 492, 964, 945
• LCM of 862, 544, 959, 817
• LCM of 972, 741, 249, 835
• LCM of 413, 436, 979, 964
• LCM of 515, 866, 685, 788

1. What is the LCM of 692, 377, 414, 388?

Answer: LCM of 692, 377, 414, 388 is 5238289836.

2. How to calculate the LCM of 692, 377, 414, 388?

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 692, 377, 414, 388.

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}.