LCM of 663, 330, 316, 206, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 663, 330, 316, 206, 748 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, 330, 316, 206, 748. So, keep reading to learn more.
Given numbers are 663,330,316,206,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 663,330,316,206,748 is 1186862820.
Find LCM of 663,330,316,206,748 with Prime Factorization
| 2 | 663, 330, 316, 206, 748 |
| 2 | 663, 165, 158, 103, 374 |
| 3 | 663, 165, 79, 103, 187 |
| 11 | 221, 55, 79, 103, 187 |
| 17 | 221, 5, 79, 103, 17 |
| 13, 5, 79, 103, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 17 x 13 x 5 x 79 x 103 x 1 = 1186862820
Therefore, the lowest common multiple of 663,330,316,206,748 is 1186862820.
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 330 x 316 x 206 x 748 = 10653280672320
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
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
316 : 1, 2, 4, 79, 158, 316
206 : 1, 2, 103, 206
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 663,330,316,206,748, is 1.
Now, the common factors can be found like this.
663:3x 13x 17
330:2x 3x 5x 11
316:2x 2x 79
206:2x 103
748:2x 2x 11x 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 2x 2x 3x 11x 17 = 8976
Therefore, the value for common factors is 8976.
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 = 10653280672320/(1x8976)
LCM = 10653280672320/8976
LCM = 1186862820
Thus, we can understand that the LCM of 663,330,316,206,748 is 1186862820.
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FAQs on LCM of 663, 330, 316, 206, 748
1. What is the LCM of 663, 330, 316, 206, 748?
Answer: LCM of 663, 330, 316, 206, 748 is 1186862820.
2. How to calculate the LCM of 663, 330, 316, 206, 748?
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, 330, 316, 206, 748.
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}.