LCM of 667, 138, 885, 649, 658
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 138, 885, 649, 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 667, 138, 885, 649, 658. So, keep reading to learn more.
Given numbers are 667,138,885,649,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,138,885,649,658 is 4272555210.
Find LCM of 667,138,885,649,658 with Prime Factorization
| 2 | 667, 138, 885, 649, 658 |
| 3 | 667, 69, 885, 649, 329 |
| 23 | 667, 23, 295, 649, 329 |
| 59 | 29, 1, 295, 649, 329 |
| 29, 1, 5, 11, 329 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 59 x 29 x 1 x 5 x 11 x 329 = 4272555210
Therefore, the lowest common multiple of 667,138,885,649,658 is 4272555210.
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.
667 x 138 x 885 x 649 x 658 = 34787144519820
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.
667 : 1, 23, 29, 667
138 : 1, 2, 3, 6, 23, 46, 69, 138
885 : 1, 3, 5, 15, 59, 177, 295, 885
649 : 1, 11, 59, 649
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 667,138,885,649,658, is 1.
Now, the common factors can be found like this.
667:23x 29
138:2x 3x 23
885:3x 5x 59
649:11x 59
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 23x 59 = 8142
Therefore, the value for common factors is 8142.
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 = 34787144519820/(1x8142)
LCM = 34787144519820/8142
LCM = 4272555210
Thus, we can understand that the LCM of 667,138,885,649,658 is 4272555210.
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FAQs on LCM of 667, 138, 885, 649, 658
1. What is the LCM of 667, 138, 885, 649, 658?
Answer: LCM of 667, 138, 885, 649, 658 is 4272555210.
2. How to calculate the LCM of 667, 138, 885, 649, 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 667, 138, 885, 649, 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}.