LCM of 767, 209, 304, 504, 623
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 767, 209, 304, 504, 623 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 767, 209, 304, 504, 623. So, keep reading to learn more.
Given numbers are 767,209,304,504,623
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,209,304,504,623 is 14381102736.
Find LCM of 767,209,304,504,623 with Prime Factorization
| 2 | 767, 209, 304, 504, 623 |
| 2 | 767, 209, 152, 252, 623 |
| 2 | 767, 209, 76, 126, 623 |
| 7 | 767, 209, 38, 63, 623 |
| 19 | 767, 209, 38, 9, 89 |
| 767, 11, 2, 9, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 19 x 767 x 11 x 2 x 9 x 89 = 14381102736
Therefore, the lowest common multiple of 767,209,304,504,623 is 14381102736.
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.
767 x 209 x 304 x 504 x 623 = 15301493311104
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.
767 : 1, 13, 59, 767
209 : 1, 11, 19, 209
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
623 : 1, 7, 89, 623
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,209,304,504,623, is 1.
Now, the common factors can be found like this.
767:13x 59
209:11x 19
304:2x 2x 2x 2x 19
504:2x 2x 2x 3x 3x 7
623:7x 89
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 2x 7x 19 = 1064
Therefore, the value for common factors is 1064.
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 = 15301493311104/(1x1064)
LCM = 15301493311104/1064
LCM = 14381102736
Thus, we can understand that the LCM of 767,209,304,504,623 is 14381102736.
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FAQs on LCM of 767, 209, 304, 504, 623
1. What is the LCM of 767, 209, 304, 504, 623?
Answer: LCM of 767, 209, 304, 504, 623 is 14381102736.
2. How to calculate the LCM of 767, 209, 304, 504, 623?
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 767, 209, 304, 504, 623.
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}.