Given numbers are 212,261,514,350

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

The LCM of 212,261,514,350 is 2488556700.

Find LCM of 212,261,514,350 with Prime Factorization

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

2 x 106 x 261 x 257 x 175 = 2488556700

Therefore, the lowest common multiple of 212,261,514,350 is 2488556700.

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.

212 x 261 x 514 x 350 = 9954226800

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.

212 : 1, 2, 4, 53, 106, 212

261 : 1, 3, 9, 29, 87, 261

514 : 1, 2, 257, 514

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,261,514,350, is 1.

Now, the common factors can be found like this.

212:2x 2x 53

261:3x 3x 29

514:2x 257

350:2x 5x 5x 7

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 9954226800/(1x4)

LCM = 9954226800/4

LCM = 2488556700

Thus, we can understand that the LCM of 212,261,514,350 is 2488556700.

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

• LCM of 438, 257, 656, 170
• LCM of 587, 142, 498, 269
• LCM of 710, 617, 452, 671
• LCM of 734, 953, 645, 450
• LCM of 557, 432, 409, 640

1. What is the LCM of 212, 261, 514, 350?

Answer: LCM of 212, 261, 514, 350 is 2488556700.

2. How to calculate the LCM of 212, 261, 514, 350?

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 212, 261, 514, 350.

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}.