LCM of 352, 909, 404, 188, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 352, 909, 404, 188, 987 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 352, 909, 404, 188, 987. So, keep reading to learn more.
Given numbers are 352,909,404,188,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 352,909,404,188,987 is 105269472.
Find LCM of 352,909,404,188,987 with Prime Factorization
| 2 | 352, 909, 404, 188, 987 |
| 2 | 176, 909, 202, 94, 987 |
| 3 | 88, 909, 101, 47, 987 |
| 47 | 88, 303, 101, 47, 329 |
| 101 | 88, 303, 101, 1, 7 |
| 88, 3, 1, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 47 x 101 x 88 x 3 x 1 x 1 x 7 = 105269472
Therefore, the lowest common multiple of 352,909,404,188,987 is 105269472.
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.
352 x 909 x 404 x 188 x 987 = 23986280812032
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.
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
909 : 1, 3, 9, 101, 303, 909
404 : 1, 2, 4, 101, 202, 404
188 : 1, 2, 4, 47, 94, 188
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,909,404,188,987, is 1.
Now, the common factors can be found like this.
352:2x 2x 2x 2x 2x 11
909:3x 3x 101
404:2x 2x 101
188:2x 2x 47
987:3x 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 2x 2x 2x 3x 47x 101 = 227856
Therefore, the value for common factors is 227856.
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 = 23986280812032/(1x227856)
LCM = 23986280812032/227856
LCM = 105269472
Thus, we can understand that the LCM of 352,909,404,188,987 is 105269472.
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FAQs on LCM of 352, 909, 404, 188, 987
1. What is the LCM of 352, 909, 404, 188, 987?
Answer: LCM of 352, 909, 404, 188, 987 is 105269472.
2. How to calculate the LCM of 352, 909, 404, 188, 987?
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 352, 909, 404, 188, 987.
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}.