LCM of 601, 292, 934, 160, 466
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 601, 292, 934, 160, 466 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 601, 292, 934, 160, 466. So, keep reading to learn more.
Given numbers are 601,292,934,160,466
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 601,292,934,160,466 is 763818400480.
Find LCM of 601,292,934,160,466 with Prime Factorization
| 2 | 601, 292, 934, 160, 466 |
| 2 | 601, 146, 467, 80, 233 |
| 601, 73, 467, 40, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 601 x 73 x 467 x 40 x 233 = 763818400480
Therefore, the lowest common multiple of 601,292,934,160,466 is 763818400480.
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.
601 x 292 x 934 x 160 x 466 = 12221094407680
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.
601 : 1, 601
292 : 1, 2, 4, 73, 146, 292
934 : 1, 2, 467, 934
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
466 : 1, 2, 233, 466
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 601,292,934,160,466, is 1.
Now, the common factors can be found like this.
601:601
292:2x 2x 73
934:2x 467
160:2x 2x 2x 2x 2x 5
466:2x 233
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 2 = 16
Therefore, the value for common factors is 16.
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 = 12221094407680/(1x16)
LCM = 12221094407680/16
LCM = 763818400480
Thus, we can understand that the LCM of 601,292,934,160,466 is 763818400480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 601, 292, 934, 160, 466
1. What is the LCM of 601, 292, 934, 160, 466?
Answer: LCM of 601, 292, 934, 160, 466 is 763818400480.
2. How to calculate the LCM of 601, 292, 934, 160, 466?
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 601, 292, 934, 160, 466.
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}.