LCM of 387, 629, 209, 807, 817
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 387, 629, 209, 807, 817 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 387, 629, 209, 807, 817. So, keep reading to learn more.
Given numbers are 387,629,209,807,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 387,629,209,807,817 is 13685484483.
Find LCM of 387,629,209,807,817 with Prime Factorization
| 3 | 387, 629, 209, 807, 817 |
| 19 | 129, 629, 209, 269, 817 |
| 43 | 129, 629, 11, 269, 43 |
| 3, 629, 11, 269, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 43 x 3 x 629 x 11 x 269 x 1 = 13685484483
Therefore, the lowest common multiple of 387,629,209,807,817 is 13685484483.
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.
387 x 629 x 209 x 807 x 817 = 33543122467833
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.
387 : 1, 3, 9, 43, 129, 387
629 : 1, 17, 37, 629
209 : 1, 11, 19, 209
807 : 1, 3, 269, 807
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,629,209,807,817, is 1.
Now, the common factors can be found like this.
387:3x 3x 43
629:17x 37
209:11x 19
807:3x 269
817:19x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 19x 43 = 2451
Therefore, the value for common factors is 2451.
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 = 33543122467833/(1x2451)
LCM = 33543122467833/2451
LCM = 13685484483
Thus, we can understand that the LCM of 387,629,209,807,817 is 13685484483.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 387, 629, 209, 807, 817
1. What is the LCM of 387, 629, 209, 807, 817?
Answer: LCM of 387, 629, 209, 807, 817 is 13685484483.
2. How to calculate the LCM of 387, 629, 209, 807, 817?
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 387, 629, 209, 807, 817.
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}.