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LCM of 164, 689, 397, 767

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


Find the LCM of 164, 689, 397, 767 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 164, 689, 397, 767. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 164,689,397,767

Given numbers are 164,689,397,767

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

The LCM of 164,689,397,767 is 2646705308.

Find LCM of 164,689,397,767 with Prime Factorization


13 164, 689, 397, 767
164, 53, 397, 59

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

13 x 164 x 53 x 397 x 59 = 2646705308

Therefore, the lowest common multiple of 164,689,397,767 is 2646705308.

LCM Formula to Find Lowest Common Multiple of 164,689,397,767

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.

164 x 689 x 397 x 767 = 34407169004

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.

164 : 1, 2, 4, 41, 82, 164

689 : 1, 13, 53, 689

397 : 1, 397

767 : 1, 13, 59, 767

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 164,689,397,767, is 1.

Now, the common factors can be found like this.

164:2x 2x 41

689:13x 53

397:397

767:13x 59

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

13 = 13

Therefore, the value for common factors is 13.

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 = 34407169004/(1x13)

LCM = 34407169004/13

LCM = 2646705308

Thus, we can understand that the LCM of 164,689,397,767 is 2646705308.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 164, 689, 397, 767

1. What is the LCM of 164, 689, 397, 767?

Answer: LCM of 164, 689, 397, 767 is 2646705308.

2. How to calculate the LCM of 164, 689, 397, 767?

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 164, 689, 397, 767.

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}.