LCM of 697, 159, 513, 183, 594
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 159, 513, 183, 594 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 697, 159, 513, 183, 594. So, keep reading to learn more.
Given numbers are 697,159,513,183,594
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,159,513,183,594 is 25431883686.
Find LCM of 697,159,513,183,594 with Prime Factorization
| 3 | 697, 159, 513, 183, 594 |
| 3 | 697, 53, 171, 61, 198 |
| 3 | 697, 53, 57, 61, 66 |
| 697, 53, 19, 61, 22 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 697 x 53 x 19 x 61 x 22 = 25431883686
Therefore, the lowest common multiple of 697,159,513,183,594 is 25431883686.
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.
697 x 159 x 513 x 183 x 594 = 6179947735698
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.
697 : 1, 17, 41, 697
159 : 1, 3, 53, 159
513 : 1, 3, 9, 19, 27, 57, 171, 513
183 : 1, 3, 61, 183
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,159,513,183,594, is 1.
Now, the common factors can be found like this.
697:17x 41
159:3x 53
513:3x 3x 3x 19
183:3x 61
594:2x 3x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3 = 243
Therefore, the value for common factors is 243.
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 = 6179947735698/(1x243)
LCM = 6179947735698/243
LCM = 25431883686
Thus, we can understand that the LCM of 697,159,513,183,594 is 25431883686.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 697, 159, 513, 183, 594
1. What is the LCM of 697, 159, 513, 183, 594?
Answer: LCM of 697, 159, 513, 183, 594 is 25431883686.
2. How to calculate the LCM of 697, 159, 513, 183, 594?
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 697, 159, 513, 183, 594.
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}.