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LCM of 167, 475, 485, 194

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 167, 475, 485, 194 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 167, 475, 485, 194. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 167,475,485,194

Given numbers are 167,475,485,194

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

The LCM of 167,475,485,194 is 15389050.

Find LCM of 167,475,485,194 with Prime Factorization


5 167, 475, 485, 194
97 167, 95, 97, 194
167, 95, 1, 2

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

5 x 97 x 167 x 95 x 1 x 2 = 15389050

Therefore, the lowest common multiple of 167,475,485,194 is 15389050.

LCM Formula to Find Lowest Common Multiple of 167,475,485,194

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.

167 x 475 x 485 x 194 = 7463689250

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.

167 : 1, 167

475 : 1, 5, 19, 25, 95, 475

485 : 1, 5, 97, 485

194 : 1, 2, 97, 194

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,475,485,194, is 1.

Now, the common factors can be found like this.

167:167

475:5x 5x 19

485:5x 97

194:2x 97

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

5x 97 = 485

Therefore, the value for common factors is 485.

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 = 7463689250/(1x485)

LCM = 7463689250/485

LCM = 15389050

Thus, we can understand that the LCM of 167,475,485,194 is 15389050.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 167, 475, 485, 194

1. What is the LCM of 167, 475, 485, 194?

Answer: LCM of 167, 475, 485, 194 is 15389050.

2. How to calculate the LCM of 167, 475, 485, 194?

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 167, 475, 485, 194.

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}.