LCM of 471, 314, 922, 217, 161
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 314, 922, 217, 161 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 471, 314, 922, 217, 161. So, keep reading to learn more.
Given numbers are 471,314,922,217,161
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,314,922,217,161 is 2167401642.
Find LCM of 471,314,922,217,161 with Prime Factorization
| 2 | 471, 314, 922, 217, 161 |
| 7 | 471, 157, 461, 217, 161 |
| 157 | 471, 157, 461, 31, 23 |
| 3, 1, 461, 31, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 157 x 3 x 1 x 461 x 31 x 23 = 2167401642
Therefore, the lowest common multiple of 471,314,922,217,161 is 2167401642.
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.
471 x 314 x 922 x 217 x 161 = 4763948809116
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.
471 : 1, 3, 157, 471
314 : 1, 2, 157, 314
922 : 1, 2, 461, 922
217 : 1, 7, 31, 217
161 : 1, 7, 23, 161
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,314,922,217,161, is 1.
Now, the common factors can be found like this.
471:3x 157
314:2x 157
922:2x 461
217:7x 31
161:7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 157 = 2198
Therefore, the value for common factors is 2198.
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 = 4763948809116/(1x2198)
LCM = 4763948809116/2198
LCM = 2167401642
Thus, we can understand that the LCM of 471,314,922,217,161 is 2167401642.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 471, 314, 922, 217, 161
1. What is the LCM of 471, 314, 922, 217, 161?
Answer: LCM of 471, 314, 922, 217, 161 is 2167401642.
2. How to calculate the LCM of 471, 314, 922, 217, 161?
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 471, 314, 922, 217, 161.
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}.