LCM of 176, 320, 314, 480, 660
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 176, 320, 314, 480, 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 176, 320, 314, 480, 660. So, keep reading to learn more.
Given numbers are 176,320,314,480,660
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 176,320,314,480,660 is 1657920.
Find LCM of 176,320,314,480,660 with Prime Factorization
| 2 | 176, 320, 314, 480, 660 |
| 2 | 88, 160, 157, 240, 330 |
| 2 | 44, 80, 157, 120, 165 |
| 2 | 22, 40, 157, 60, 165 |
| 2 | 11, 20, 157, 30, 165 |
| 3 | 11, 10, 157, 15, 165 |
| 5 | 11, 10, 157, 5, 55 |
| 11 | 11, 2, 157, 1, 11 |
| 1, 2, 157, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 1 x 2 x 157 x 1 x 1 = 1657920
Therefore, the lowest common multiple of 176,320,314,480,660 is 1657920.
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.
176 x 320 x 314 x 480 x 660 = 5602443264000
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.
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
314 : 1, 2, 157, 314
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
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
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 176,320,314,480,660, is 2.
Now, the common factors can be found like this.
176:2x 2x 2x 2x 11
320:2x 2x 2x 2x 2x 2x 5
314:2x 157
480:2x 2x 2x 2x 2x 3x 5
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 2x 2x 2x 2x 2x 2x 2x 2x 3x 5x 5x 11 = 1689600
Therefore, the value for common factors is 1689600.
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 = 5602443264000/(2x1689600)
LCM = 5602443264000/3379200
LCM = 1657920
Thus, we can understand that the LCM of 176,320,314,480,660 is 1657920.
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FAQs on LCM of 176, 320, 314, 480, 660
1. What is the LCM of 176, 320, 314, 480, 660?
Answer: LCM of 176, 320, 314, 480, 660 is 1657920.
2. How to calculate the LCM of 176, 320, 314, 480, 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 176, 320, 314, 480, 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}.