Given numbers are 205,174,167,430

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

The LCM of 205,174,167,430 is 256146270.

Find LCM of 205,174,167,430 with Prime Factorization

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

2 x 5 x 41 x 87 x 167 x 43 = 256146270

Therefore, the lowest common multiple of 205,174,167,430 is 256146270.

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.

205 x 174 x 167 x 430 = 2561462700

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.

205 : 1, 5, 41, 205

174 : 1, 2, 3, 6, 29, 58, 87, 174

167 : 1, 167

430 : 1, 2, 5, 10, 43, 86, 215, 430

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,174,167,430, is 1.

Now, the common factors can be found like this.

205:5x 41

174:2x 3x 29

167:167

430:2x 5x 43

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 2561462700/(1x10)

LCM = 2561462700/10

LCM = 256146270

Thus, we can understand that the LCM of 205,174,167,430 is 256146270.

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

• LCM of 555, 574, 826, 969
• LCM of 415, 754, 678, 968
• LCM of 172, 922, 128, 430
• LCM of 123, 587, 838, 577
• LCM of 958, 869, 721, 162

1. What is the LCM of 205, 174, 167, 430?

Answer: LCM of 205, 174, 167, 430 is 256146270.

2. How to calculate the LCM of 205, 174, 167, 430?

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 205, 174, 167, 430.

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}.