LCM of 314, 161, 168, 621, 471
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 314, 161, 168, 621, 471 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 314, 161, 168, 621, 471. So, keep reading to learn more.
Given numbers are 314,161,168,621,471
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 314,161,168,621,471 is 5459832.
Find LCM of 314,161,168,621,471 with Prime Factorization
| 2 | 314, 161, 168, 621, 471 |
| 3 | 157, 161, 84, 621, 471 |
| 7 | 157, 161, 28, 207, 157 |
| 23 | 157, 23, 4, 207, 157 |
| 157 | 157, 1, 4, 9, 157 |
| 1, 1, 4, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 157 x 1 x 1 x 4 x 9 x 1 = 5459832
Therefore, the lowest common multiple of 314,161,168,621,471 is 5459832.
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.
314 x 161 x 168 x 621 x 471 = 2484147122352
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.
314 : 1, 2, 157, 314
161 : 1, 7, 23, 161
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
621 : 1, 3, 9, 23, 27, 69, 207, 621
471 : 1, 3, 157, 471
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,161,168,621,471, is 1.
Now, the common factors can be found like this.
314:2x 157
161:7x 23
168:2x 2x 2x 3x 7
621:3x 3x 3x 23
471:3x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 23x 157 = 454986
Therefore, the value for common factors is 454986.
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 = 2484147122352/(1x454986)
LCM = 2484147122352/454986
LCM = 5459832
Thus, we can understand that the LCM of 314,161,168,621,471 is 5459832.
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FAQs on LCM of 314, 161, 168, 621, 471
1. What is the LCM of 314, 161, 168, 621, 471?
Answer: LCM of 314, 161, 168, 621, 471 is 5459832.
2. How to calculate the LCM of 314, 161, 168, 621, 471?
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 314, 161, 168, 621, 471.
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}.