LCM of 606, 176, 351, 741, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 176, 351, 741, 891 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 606, 176, 351, 741, 891. So, keep reading to learn more.
Given numbers are 606,176,351,741,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,176,351,741,891 is 355644432.
Find LCM of 606,176,351,741,891 with Prime Factorization
| 2 | 606, 176, 351, 741, 891 |
| 3 | 303, 88, 351, 741, 891 |
| 3 | 101, 88, 117, 247, 297 |
| 3 | 101, 88, 39, 247, 99 |
| 11 | 101, 88, 13, 247, 33 |
| 13 | 101, 8, 13, 247, 3 |
| 101, 8, 1, 19, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 11 x 13 x 101 x 8 x 1 x 19 x 3 = 355644432
Therefore, the lowest common multiple of 606,176,351,741,891 is 355644432.
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.
606 x 176 x 351 x 741 x 891 = 24716576735136
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.
606 : 1, 2, 3, 6, 101, 202, 303, 606
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
351 : 1, 3, 9, 13, 27, 39, 117, 351
741 : 1, 3, 13, 19, 39, 57, 247, 741
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,176,351,741,891, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
176:2x 2x 2x 2x 11
351:3x 3x 3x 13
741:3x 13x 19
891:3x 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.
2x 3x 3x 3x 3x 3x 11x 13 = 69498
Therefore, the value for common factors is 69498.
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 = 24716576735136/(1x69498)
LCM = 24716576735136/69498
LCM = 355644432
Thus, we can understand that the LCM of 606,176,351,741,891 is 355644432.
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FAQs on LCM of 606, 176, 351, 741, 891
1. What is the LCM of 606, 176, 351, 741, 891?
Answer: LCM of 606, 176, 351, 741, 891 is 355644432.
2. How to calculate the LCM of 606, 176, 351, 741, 891?
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 606, 176, 351, 741, 891.
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}.