LCM of 690, 195, 998, 756, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 690, 195, 998, 756, 414 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 690, 195, 998, 756, 414. So, keep reading to learn more.
Given numbers are 690,195,998,756,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 690,195,998,756,414 is 563979780.
Find LCM of 690,195,998,756,414 with Prime Factorization
| 2 | 690, 195, 998, 756, 414 |
| 3 | 345, 195, 499, 378, 207 |
| 3 | 115, 65, 499, 126, 69 |
| 5 | 115, 65, 499, 42, 23 |
| 23 | 23, 13, 499, 42, 23 |
| 1, 13, 499, 42, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 23 x 1 x 13 x 499 x 42 x 1 = 563979780
Therefore, the lowest common multiple of 690,195,998,756,414 is 563979780.
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.
690 x 195 x 998 x 756 x 414 = 42027773205600
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.
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
195 : 1, 3, 5, 13, 15, 39, 65, 195
998 : 1, 2, 499, 998
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,195,998,756,414, is 1.
Now, the common factors can be found like this.
690:2x 3x 5x 23
195:3x 5x 13
998:2x 499
756:2x 2x 3x 3x 3x 7
414:2x 3x 3x 23
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 3x 3x 3x 3x 5x 23 = 74520
Therefore, the value for common factors is 74520.
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 = 42027773205600/(1x74520)
LCM = 42027773205600/74520
LCM = 563979780
Thus, we can understand that the LCM of 690,195,998,756,414 is 563979780.
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FAQs on LCM of 690, 195, 998, 756, 414
1. What is the LCM of 690, 195, 998, 756, 414?
Answer: LCM of 690, 195, 998, 756, 414 is 563979780.
2. How to calculate the LCM of 690, 195, 998, 756, 414?
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 690, 195, 998, 756, 414.
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}.