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LCM of 169, 667, 497, 355

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


Find the LCM of 169, 667, 497, 355 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 169, 667, 497, 355. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 169,667,497,355

Given numbers are 169,667,497,355

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

The LCM of 169,667,497,355 is 280116655.

Find LCM of 169,667,497,355 with Prime Factorization


71 169, 667, 497, 355
169, 667, 7, 5

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

71 x 169 x 667 x 7 x 5 = 280116655

Therefore, the lowest common multiple of 169,667,497,355 is 280116655.

LCM Formula to Find Lowest Common Multiple of 169,667,497,355

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.

169 x 667 x 497 x 355 = 19888282505

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.

169 : 1, 13, 169

667 : 1, 23, 29, 667

497 : 1, 7, 71, 497

355 : 1, 5, 71, 355

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,667,497,355, is 1.

Now, the common factors can be found like this.

169:13x 13

667:23x 29

497:7x 71

355:5x 71

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

71 = 71

Therefore, the value for common factors is 71.

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 = 19888282505/(1x71)

LCM = 19888282505/71

LCM = 280116655

Thus, we can understand that the LCM of 169,667,497,355 is 280116655.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 169, 667, 497, 355

1. What is the LCM of 169, 667, 497, 355?

Answer: LCM of 169, 667, 497, 355 is 280116655.

2. How to calculate the LCM of 169, 667, 497, 355?

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 169, 667, 497, 355.

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}.