Given numbers are 289,771,407,514

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

The LCM of 289,771,407,514 is 181374666.

Find LCM of 289,771,407,514 with Prime Factorization

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

257 x 289 x 3 x 407 x 2 = 181374666

Therefore, the lowest common multiple of 289,771,407,514 is 181374666.

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.

289 x 771 x 407 x 514 = 46613289162

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.

289 : 1, 17, 289

771 : 1, 3, 257, 771

407 : 1, 11, 37, 407

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,771,407,514, is 1.

Now, the common factors can be found like this.

289:17x 17

771:3x 257

407:11x 37

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.

257 = 257

Therefore, the value for common factors is 257.

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 = 46613289162/(1x257)

LCM = 46613289162/257

LCM = 181374666

Thus, we can understand that the LCM of 289,771,407,514 is 181374666.

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

• LCM of 385, 703, 326, 125
• LCM of 199, 270, 874, 262
• LCM of 562, 663, 360, 933
• LCM of 494, 458, 715, 656
• LCM of 108, 745, 234, 338

1. What is the LCM of 289, 771, 407, 514?

Answer: LCM of 289, 771, 407, 514 is 181374666.

2. How to calculate the LCM of 289, 771, 407, 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 289, 771, 407, 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}.