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LCM of 208, 173, 767, 637, 331

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


Find the LCM of 208, 173, 767, 637, 331 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 208, 173, 767, 637, 331. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 208,173,767,637,331

Given numbers are 208,173,767,637,331

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

The LCM of 208,173,767,637,331 is 34433845264.

Find LCM of 208,173,767,637,331 with Prime Factorization


13 208, 173, 767, 637, 331
16, 173, 59, 49, 331

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

13 x 16 x 173 x 59 x 49 x 331 = 34433845264

Therefore, the lowest common multiple of 208,173,767,637,331 is 34433845264.

LCM Formula to Find Lowest Common Multiple of 208,173,767,637,331

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.

208 x 173 x 767 x 637 x 331 = 5819319849616

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.

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

173 : 1, 173

767 : 1, 13, 59, 767

637 : 1, 7, 13, 49, 91, 637

331 : 1, 331

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,173,767,637,331, is 1.

Now, the common factors can be found like this.

208:2x 2x 2x 2x 13

173:173

767:13x 59

637:7x 7x 13

331:331

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

13x 13 = 169

Therefore, the value for common factors is 169.

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 = 5819319849616/(1x169)

LCM = 5819319849616/169

LCM = 34433845264

Thus, we can understand that the LCM of 208,173,767,637,331 is 34433845264.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 208, 173, 767, 637, 331

1. What is the LCM of 208, 173, 767, 637, 331?

Answer: LCM of 208, 173, 767, 637, 331 is 34433845264.

2. How to calculate the LCM of 208, 173, 767, 637, 331?

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 208, 173, 767, 637, 331.

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}.