LCM of 663, 418, 368, 102, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 663, 418, 368, 102, 765 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 663, 418, 368, 102, 765. So, keep reading to learn more.
Given numbers are 663,418,368,102,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 663,418,368,102,765 is 764889840.
Find LCM of 663,418,368,102,765 with Prime Factorization
| 2 | 663, 418, 368, 102, 765 |
| 3 | 663, 209, 184, 51, 765 |
| 17 | 221, 209, 184, 17, 255 |
| 13, 209, 184, 1, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 13 x 209 x 184 x 1 x 15 = 764889840
Therefore, the lowest common multiple of 663,418,368,102,765 is 764889840.
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.
663 x 418 x 368 x 102 x 765 = 7957913895360
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.
663 : 1, 3, 13, 17, 39, 51, 221, 663
418 : 1, 2, 11, 19, 22, 38, 209, 418
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
102 : 1, 2, 3, 6, 17, 34, 51, 102
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 663,418,368,102,765, is 1.
Now, the common factors can be found like this.
663:3x 13x 17
418:2x 11x 19
368:2x 2x 2x 2x 23
102:2x 3x 17
765:3x 3x 5x 17
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 3x 3x 17x 17 = 10404
Therefore, the value for common factors is 10404.
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 = 7957913895360/(1x10404)
LCM = 7957913895360/10404
LCM = 764889840
Thus, we can understand that the LCM of 663,418,368,102,765 is 764889840.
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FAQs on LCM of 663, 418, 368, 102, 765
1. What is the LCM of 663, 418, 368, 102, 765?
Answer: LCM of 663, 418, 368, 102, 765 is 764889840.
2. How to calculate the LCM of 663, 418, 368, 102, 765?
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 663, 418, 368, 102, 765.
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}.