Given numbers are 361,214,243,532,532

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

The LCM of 361,214,243,532,532 is 262818108.

Find LCM of 361,214,243,532,532 with Prime Factorization

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

2 x 2 x 7 x 19 x 1 x 107 x 243 x 1 x 19 = 262818108

Therefore, the lowest common multiple of 361,214,243,532,532 is 262818108.

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 214 x 243 x 532 x 532 = 5313130871328

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

214 : 1, 2, 107, 214

243 : 1, 3, 9, 27, 81, 243

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 361,214,243,532,532, is 1.

Now, the common factors can be found like this.

361:19x 19

214:2x 107

243:3x 3x 3x 3x 3

532:2x 2x 7x 19

532:2x 2x 7x 19

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 2x 7x 19x 19 = 20216

Therefore, the value for common factors is 20216.

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 = 5313130871328/(1x20216)

LCM = 5313130871328/20216

LCM = 262818108

Thus, we can understand that the LCM of 361,214,243,532,532 is 262818108.

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

• LCM of 572, 380, 674, 343, 636
• LCM of 406, 731, 270, 955, 659
• LCM of 550, 413, 195, 584, 323
• LCM of 559, 678, 373, 944, 752
• LCM of 627, 379, 800, 414, 524

1. What is the LCM of 361, 214, 243, 532, 532?

Answer: LCM of 361, 214, 243, 532, 532 is 262818108.

2. How to calculate the LCM of 361, 214, 243, 532, 532?

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, 214, 243, 532, 532.

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}.