LCM of 697, 867, 658, 819, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 697, 867, 658, 819, 345 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, 867, 658, 819, 345. So, keep reading to learn more.
Given numbers are 697,867,658,819,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,867,658,819,345 is 104903818110.
Find LCM of 697,867,658,819,345 with Prime Factorization
| 3 | 697, 867, 658, 819, 345 |
| 7 | 697, 289, 658, 273, 115 |
| 17 | 697, 289, 94, 39, 115 |
| 41, 17, 94, 39, 115 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 17 x 41 x 17 x 94 x 39 x 115 = 104903818110
Therefore, the lowest common multiple of 697,867,658,819,345 is 104903818110.
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 867 x 658 x 819 x 345 = 112351989195810
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
867 : 1, 3, 17, 51, 289, 867
658 : 1, 2, 7, 14, 47, 94, 329, 658
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,867,658,819,345, is 1.
Now, the common factors can be found like this.
697:17x 41
867:3x 17x 17
658:2x 7x 47
819:3x 3x 7x 13
345:3x 5x 23
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 7x 17 = 1071
Therefore, the value for common factors is 1071.
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 = 112351989195810/(1x1071)
LCM = 112351989195810/1071
LCM = 104903818110
Thus, we can understand that the LCM of 697,867,658,819,345 is 104903818110.
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FAQs on LCM of 697, 867, 658, 819, 345
1. What is the LCM of 697, 867, 658, 819, 345?
Answer: LCM of 697, 867, 658, 819, 345 is 104903818110.
2. How to calculate the LCM of 697, 867, 658, 819, 345?
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, 867, 658, 819, 345.
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}.