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LCM of 167, 914, 602, 418, 195

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


Find the LCM of 167, 914, 602, 418, 195 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, 914, 602, 418, 195. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 167,914,602,418,195

Given numbers are 167,914,602,418,195

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

The LCM of 167,914,602,418,195 is 1872449268690.

Find LCM of 167,914,602,418,195 with Prime Factorization


2 167, 914, 602, 418, 195
167, 457, 301, 209, 195

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

2 x 167 x 457 x 301 x 209 x 195 = 1872449268690

Therefore, the lowest common multiple of 167,914,602,418,195 is 1872449268690.

LCM Formula to Find Lowest Common Multiple of 167,914,602,418,195

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 914 x 602 x 418 x 195 = 7489797074760

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

914 : 1, 2, 457, 914

602 : 1, 2, 7, 14, 43, 86, 301, 602

418 : 1, 2, 11, 19, 22, 38, 209, 418

195 : 1, 3, 5, 13, 15, 39, 65, 195

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 167,914,602,418,195, is 1.

Now, the common factors can be found like this.

167:167

914:2x 457

602:2x 7x 43

418:2x 11x 19

195:3x 5x 13

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 7489797074760/(1x4)

LCM = 7489797074760/4

LCM = 1872449268690

Thus, we can understand that the LCM of 167,914,602,418,195 is 1872449268690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 167, 914, 602, 418, 195

1. What is the LCM of 167, 914, 602, 418, 195?

Answer: LCM of 167, 914, 602, 418, 195 is 1872449268690.

2. How to calculate the LCM of 167, 914, 602, 418, 195?

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, 914, 602, 418, 195.

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}.