Given numbers are 351,197,260,175

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

The LCM of 351,197,260,175 is 48402900.

Find LCM of 351,197,260,175 with Prime Factorization

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

5 x 13 x 27 x 197 x 4 x 35 = 48402900

Therefore, the lowest common multiple of 351,197,260,175 is 48402900.

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.

351 x 197 x 260 x 175 = 3146188500

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

197 : 1, 197

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

175 : 1, 5, 7, 25, 35, 175

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,197,260,175, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

197:197

260:2x 2x 5x 13

175:5x 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.

5x 13 = 65

Therefore, the value for common factors is 65.

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 = 3146188500/(1x65)

LCM = 3146188500/65

LCM = 48402900

Thus, we can understand that the LCM of 351,197,260,175 is 48402900.

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

• LCM of 216, 610, 549, 387
• LCM of 334, 885, 687, 549
• LCM of 815, 770, 451, 351
• LCM of 978, 351, 643, 270
• LCM of 395, 215, 406, 580

1. What is the LCM of 351, 197, 260, 175?

Answer: LCM of 351, 197, 260, 175 is 48402900.

2. How to calculate the LCM of 351, 197, 260, 175?

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 351, 197, 260, 175.

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}.