LCM of 606, 359, 682, 888, 132
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 606, 359, 682, 888, 132 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, 359, 682, 888, 132. So, keep reading to learn more.
Given numbers are 606,359,682,888,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 606,359,682,888,132 is 10979515272.
Find LCM of 606,359,682,888,132 with Prime Factorization
| 2 | 606, 359, 682, 888, 132 |
| 2 | 303, 359, 341, 444, 66 |
| 3 | 303, 359, 341, 222, 33 |
| 11 | 101, 359, 341, 74, 11 |
| 101, 359, 31, 74, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 101 x 359 x 31 x 74 x 1 = 10979515272
Therefore, the lowest common multiple of 606,359,682,888,132 is 10979515272.
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 359 x 682 x 888 x 132 = 17391552190848
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
359 : 1, 359
682 : 1, 2, 11, 22, 31, 62, 341, 682
888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 606,359,682,888,132, is 1.
Now, the common factors can be found like this.
606:2x 3x 101
359:359
682:2x 11x 31
888:2x 2x 2x 3x 37
132:2x 2x 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 2x 2x 2x 3x 3x 11 = 1584
Therefore, the value for common factors is 1584.
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 = 17391552190848/(1x1584)
LCM = 17391552190848/1584
LCM = 10979515272
Thus, we can understand that the LCM of 606,359,682,888,132 is 10979515272.
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FAQs on LCM of 606, 359, 682, 888, 132
1. What is the LCM of 606, 359, 682, 888, 132?
Answer: LCM of 606, 359, 682, 888, 132 is 10979515272.
2. How to calculate the LCM of 606, 359, 682, 888, 132?
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, 359, 682, 888, 132.
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}.