LCM of 166, 808, 626, 655, 313
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 166, 808, 626, 655, 313 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 166, 808, 626, 655, 313. So, keep reading to learn more.
Given numbers are 166,808,626,655,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 166,808,626,655,313 is 13749125960.
Find LCM of 166,808,626,655,313 with Prime Factorization
| 2 | 166, 808, 626, 655, 313 |
| 313 | 83, 404, 313, 655, 313 |
| 83, 404, 1, 655, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 313 x 83 x 404 x 1 x 655 x 1 = 13749125960
Therefore, the lowest common multiple of 166,808,626,655,313 is 13749125960.
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.
166 x 808 x 626 x 655 x 313 = 17213905701920
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.
166 : 1, 2, 83, 166
808 : 1, 2, 4, 8, 101, 202, 404, 808
626 : 1, 2, 313, 626
655 : 1, 5, 131, 655
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 166,808,626,655,313, is 1.
Now, the common factors can be found like this.
166:2x 83
808:2x 2x 2x 101
626:2x 313
655:5x 131
313:313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 313 = 1252
Therefore, the value for common factors is 1252.
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 = 17213905701920/(1x1252)
LCM = 17213905701920/1252
LCM = 13749125960
Thus, we can understand that the LCM of 166,808,626,655,313 is 13749125960.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 166, 808, 626, 655, 313
1. What is the LCM of 166, 808, 626, 655, 313?
Answer: LCM of 166, 808, 626, 655, 313 is 13749125960.
2. How to calculate the LCM of 166, 808, 626, 655, 313?
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 166, 808, 626, 655, 313.
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}.