Given numbers are 350,323,338,196,252

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

The LCM of 350,323,338,196,252 is 2407286700.

Find LCM of 350,323,338,196,252 with Prime Factorization

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

2 x 2 x 7 x 25 x 323 x 169 x 7 x 9 = 2407286700

Therefore, the lowest common multiple of 350,323,338,196,252 is 2407286700.

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.

350 x 323 x 338 x 196 x 252 = 1887312772800

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.

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

323 : 1, 17, 19, 323

338 : 1, 2, 13, 26, 169, 338

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,323,338,196,252, is 1.

Now, the common factors can be found like this.

350:2x 5x 5x 7

323:17x 19

338:2x 13x 13

196:2x 2x 7x 7

252:2x 2x 3x 3x 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 2x 2x 2x 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 1887312772800/(1x784)

LCM = 1887312772800/784

LCM = 2407286700

Thus, we can understand that the LCM of 350,323,338,196,252 is 2407286700.

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

• LCM of 132, 147, 865, 267, 959
• LCM of 548, 596, 466, 328, 787
• LCM of 973, 813, 228, 306, 380
• LCM of 288, 691, 729, 908, 493
• LCM of 685, 784, 994, 589, 421

1. What is the LCM of 350, 323, 338, 196, 252?

Answer: LCM of 350, 323, 338, 196, 252 is 2407286700.

2. How to calculate the LCM of 350, 323, 338, 196, 252?

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 350, 323, 338, 196, 252.

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}.