LCM of 161, 416, 275, 550, 462
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 161, 416, 275, 550, 462 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 161, 416, 275, 550, 462. So, keep reading to learn more.
Given numbers are 161,416,275,550,462
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 161,416,275,550,462 is 55255200.
Find LCM of 161,416,275,550,462 with Prime Factorization
| 2 | 161, 416, 275, 550, 462 |
| 5 | 161, 208, 275, 275, 231 |
| 5 | 161, 208, 55, 55, 231 |
| 7 | 161, 208, 11, 11, 231 |
| 11 | 23, 208, 11, 11, 33 |
| 23, 208, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 5 x 7 x 11 x 23 x 208 x 1 x 1 x 3 = 55255200
Therefore, the lowest common multiple of 161,416,275,550,462 is 55255200.
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.
161 x 416 x 275 x 550 x 462 = 4680115440000
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.
161 : 1, 7, 23, 161
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
275 : 1, 5, 11, 25, 55, 275
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 161,416,275,550,462, is 1.
Now, the common factors can be found like this.
161:7x 23
416:2x 2x 2x 2x 2x 13
275:5x 5x 11
550:2x 5x 5x 11
462:2x 3x 7x 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 5x 5x 7x 11x 11 = 84700
Therefore, the value for common factors is 84700.
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 = 4680115440000/(1x84700)
LCM = 4680115440000/84700
LCM = 55255200
Thus, we can understand that the LCM of 161,416,275,550,462 is 55255200.
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FAQs on LCM of 161, 416, 275, 550, 462
1. What is the LCM of 161, 416, 275, 550, 462?
Answer: LCM of 161, 416, 275, 550, 462 is 55255200.
2. How to calculate the LCM of 161, 416, 275, 550, 462?
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 161, 416, 275, 550, 462.
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}.