LCM of 699, 218, 663, 765, 218
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 218, 663, 765, 218 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 699, 218, 663, 765, 218. So, keep reading to learn more.
Given numbers are 699,218,663,765,218
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,218,663,765,218 is 505146330.
Find LCM of 699,218,663,765,218 with Prime Factorization
| 2 | 699, 218, 663, 765, 218 |
| 3 | 699, 109, 663, 765, 109 |
| 17 | 233, 109, 221, 255, 109 |
| 109 | 233, 109, 13, 15, 109 |
| 233, 1, 13, 15, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 109 x 233 x 1 x 13 x 15 x 1 = 505146330
Therefore, the lowest common multiple of 699,218,663,765,218 is 505146330.
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.
699 x 218 x 663 x 765 x 218 = 16848650690820
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.
699 : 1, 3, 233, 699
218 : 1, 2, 109, 218
663 : 1, 3, 13, 17, 39, 51, 221, 663
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
218 : 1, 2, 109, 218
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,218,663,765,218, is 1.
Now, the common factors can be found like this.
699:3x 233
218:2x 109
663:3x 13x 17
765:3x 3x 5x 17
218:2x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 17x 109 = 33354
Therefore, the value for common factors is 33354.
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 = 16848650690820/(1x33354)
LCM = 16848650690820/33354
LCM = 505146330
Thus, we can understand that the LCM of 699,218,663,765,218 is 505146330.
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FAQs on LCM of 699, 218, 663, 765, 218
1. What is the LCM of 699, 218, 663, 765, 218?
Answer: LCM of 699, 218, 663, 765, 218 is 505146330.
2. How to calculate the LCM of 699, 218, 663, 765, 218?
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 699, 218, 663, 765, 218.
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}.