LCM of 806, 371, 770, 418, 165
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 806, 371, 770, 418, 165 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 806, 371, 770, 418, 165. So, keep reading to learn more.
Given numbers are 806,371,770,418,165
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,371,770,418,165 is 937446510.
Find LCM of 806,371,770,418,165 with Prime Factorization
| 2 | 806, 371, 770, 418, 165 |
| 5 | 403, 371, 385, 209, 165 |
| 7 | 403, 371, 77, 209, 33 |
| 11 | 403, 53, 11, 209, 33 |
| 403, 53, 1, 19, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 403 x 53 x 1 x 19 x 3 = 937446510
Therefore, the lowest common multiple of 806,371,770,418,165 is 937446510.
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.
806 x 371 x 770 x 418 x 165 = 15880343879400
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.
806 : 1, 2, 13, 26, 31, 62, 403, 806
371 : 1, 7, 53, 371
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
418 : 1, 2, 11, 19, 22, 38, 209, 418
165 : 1, 3, 5, 11, 15, 33, 55, 165
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,371,770,418,165, is 1.
Now, the common factors can be found like this.
806:2x 13x 31
371:7x 53
770:2x 5x 7x 11
418:2x 11x 19
165:3x 5x 11
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 5x 7x 11x 11 = 16940
Therefore, the value for common factors is 16940.
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 = 15880343879400/(1x16940)
LCM = 15880343879400/16940
LCM = 937446510
Thus, we can understand that the LCM of 806,371,770,418,165 is 937446510.
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FAQs on LCM of 806, 371, 770, 418, 165
1. What is the LCM of 806, 371, 770, 418, 165?
Answer: LCM of 806, 371, 770, 418, 165 is 937446510.
2. How to calculate the LCM of 806, 371, 770, 418, 165?
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 806, 371, 770, 418, 165.
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}.