Given numbers are 289,265,257,514

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

The LCM of 289,265,257,514 is 39364690.

Find LCM of 289,265,257,514 with Prime Factorization

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

257 x 289 x 265 x 1 x 2 = 39364690

Therefore, the lowest common multiple of 289,265,257,514 is 39364690.

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 265 x 257 x 514 = 10116725330

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

265 : 1, 5, 53, 265

257 : 1, 257

514 : 1, 2, 257, 514

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 289,265,257,514, is 1.

Now, the common factors can be found like this.

289:17x 17

265:5x 53

257:257

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 = 10116725330/(1x257)

LCM = 10116725330/257

LCM = 39364690

Thus, we can understand that the LCM of 289,265,257,514 is 39364690.

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

• LCM of 568, 447, 905, 770
• LCM of 116, 524, 417, 759
• LCM of 530, 557, 543, 322
• LCM of 473, 727, 886, 353
• LCM of 552, 597, 147, 547

1. What is the LCM of 289, 265, 257, 514?

Answer: LCM of 289, 265, 257, 514 is 39364690.

2. How to calculate the LCM of 289, 265, 257, 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, 265, 257, 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}.