Given numbers are 361,407,704,514

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

The LCM of 361,407,704,514 is 2416655296.

Find LCM of 361,407,704,514 with Prime Factorization

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

2 x 11 x 361 x 37 x 32 x 257 = 2416655296

Therefore, the lowest common multiple of 361,407,704,514 is 2416655296.

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.

361 x 407 x 704 x 514 = 53166416512

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.

361 : 1, 19, 361

407 : 1, 11, 37, 407

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,407,704,514, is 1.

Now, the common factors can be found like this.

361:19x 19

407:11x 37

704:2x 2x 2x 2x 2x 2x 11

514:2x 257

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 53166416512/(1x22)

LCM = 53166416512/22

LCM = 2416655296

Thus, we can understand that the LCM of 361,407,704,514 is 2416655296.

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

• LCM of 146, 938, 242, 935
• LCM of 356, 519, 975, 989
• LCM of 938, 453, 935, 658
• LCM of 372, 579, 505, 906
• LCM of 900, 418, 430, 500

1. What is the LCM of 361, 407, 704, 514?

Answer: LCM of 361, 407, 704, 514 is 2416655296.

2. How to calculate the LCM of 361, 407, 704, 514?

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 361, 407, 704, 514.

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}.