LCM of 177, 382, 400, 351, 660
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 177, 382, 400, 351, 660 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 177, 382, 400, 351, 660. So, keep reading to learn more.
Given numbers are 177,382,400,351,660
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 177,382,400,351,660 is 17403843600.
Find LCM of 177,382,400,351,660 with Prime Factorization
| 2 | 177, 382, 400, 351, 660 |
| 2 | 177, 191, 200, 351, 330 |
| 3 | 177, 191, 100, 351, 165 |
| 5 | 59, 191, 100, 117, 55 |
| 59, 191, 20, 117, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 59 x 191 x 20 x 117 x 11 = 17403843600
Therefore, the lowest common multiple of 177,382,400,351,660 is 17403843600.
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.
177 x 382 x 400 x 351 x 660 = 6265383696000
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.
177 : 1, 3, 59, 177
382 : 1, 2, 191, 382
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
351 : 1, 3, 9, 13, 27, 39, 117, 351
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,382,400,351,660, is 1.
Now, the common factors can be found like this.
177:3x 59
382:2x 191
400:2x 2x 2x 2x 5x 5
351:3x 3x 3x 13
660:2x 2x 3x 5x 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 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 6265383696000/(1x360)
LCM = 6265383696000/360
LCM = 17403843600
Thus, we can understand that the LCM of 177,382,400,351,660 is 17403843600.
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FAQs on LCM of 177, 382, 400, 351, 660
1. What is the LCM of 177, 382, 400, 351, 660?
Answer: LCM of 177, 382, 400, 351, 660 is 17403843600.
2. How to calculate the LCM of 177, 382, 400, 351, 660?
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 177, 382, 400, 351, 660.
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}.