Given numbers are 321,343,175

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

The LCM of 321,343,175 is 2752575.

Find LCM of 321,343,175 with Prime Factorization

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

7 x 321 x 49 x 25 = 2752575

Therefore, the lowest common multiple of 321,343,175 is 2752575.

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.

321 x 343 x 175 = 19268025

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.

321 : 1, 3, 107, 321

343 : 1, 7, 49, 343

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 321,343,175, is 1.

Now, the common factors can be found like this.

321:3x 107

343:7x 7x 7

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.

7 = 7

Therefore, the value for common factors is 7.

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 = 19268025/(1x7)

LCM = 19268025/7

LCM = 2752575

Thus, we can understand that the LCM of 321,343,175 is 2752575.

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

• LCM of 281, 622, 840
• LCM of 690, 958, 920
• LCM of 150, 669, 146
• LCM of 688, 827, 964
• LCM of 516, 892, 520

1. What is the LCM of 321, 343, 175?

Answer: LCM of 321, 343, 175 is 2752575.

2. How to calculate the LCM of 321, 343, 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 321, 343, 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}.