LCM of 702, 885, 189, 423, 658
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 702, 885, 189, 423, 658 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 702, 885, 189, 423, 658. So, keep reading to learn more.
Given numbers are 702,885,189,423,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 702,885,189,423,658 is 68132610.
Find LCM of 702,885,189,423,658 with Prime Factorization
| 2 | 702, 885, 189, 423, 658 |
| 3 | 351, 885, 189, 423, 329 |
| 3 | 117, 295, 63, 141, 329 |
| 3 | 39, 295, 21, 47, 329 |
| 7 | 13, 295, 7, 47, 329 |
| 47 | 13, 295, 1, 47, 47 |
| 13, 295, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 47 x 13 x 295 x 1 x 1 x 1 = 68132610
Therefore, the lowest common multiple of 702,885,189,423,658 is 68132610.
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.
702 x 885 x 189 x 423 x 658 = 32681986630020
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.
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
885 : 1, 3, 5, 15, 59, 177, 295, 885
189 : 1, 3, 7, 9, 21, 27, 63, 189
423 : 1, 3, 9, 47, 141, 423
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 702,885,189,423,658, is 1.
Now, the common factors can be found like this.
702:2x 3x 3x 3x 13
885:3x 5x 59
189:3x 3x 3x 7
423:3x 3x 47
658:2x 7x 47
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 3x 3x 3x 3x 7x 47 = 479682
Therefore, the value for common factors is 479682.
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 = 32681986630020/(1x479682)
LCM = 32681986630020/479682
LCM = 68132610
Thus, we can understand that the LCM of 702,885,189,423,658 is 68132610.
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FAQs on LCM of 702, 885, 189, 423, 658
1. What is the LCM of 702, 885, 189, 423, 658?
Answer: LCM of 702, 885, 189, 423, 658 is 68132610.
2. How to calculate the LCM of 702, 885, 189, 423, 658?
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 702, 885, 189, 423, 658.
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}.