LCM of 542, 353, 469, 434, 417
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 542, 353, 469, 434, 417 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 542, 353, 469, 434, 417. So, keep reading to learn more.
Given numbers are 542,353,469,434,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 542,353,469,434,417 is 1159964193738.
Find LCM of 542,353,469,434,417 with Prime Factorization
| 2 | 542, 353, 469, 434, 417 |
| 7 | 271, 353, 469, 217, 417 |
| 271, 353, 67, 31, 417 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 271 x 353 x 67 x 31 x 417 = 1159964193738
Therefore, the lowest common multiple of 542,353,469,434,417 is 1159964193738.
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.
542 x 353 x 469 x 434 x 417 = 16239498712332
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.
542 : 1, 2, 271, 542
353 : 1, 353
469 : 1, 7, 67, 469
434 : 1, 2, 7, 14, 31, 62, 217, 434
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,353,469,434,417, is 1.
Now, the common factors can be found like this.
542:2x 271
353:353
469:7x 67
434:2x 7x 31
417:3x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7 = 14
Therefore, the value for common factors is 14.
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 = 16239498712332/(1x14)
LCM = 16239498712332/14
LCM = 1159964193738
Thus, we can understand that the LCM of 542,353,469,434,417 is 1159964193738.
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FAQs on LCM of 542, 353, 469, 434, 417
1. What is the LCM of 542, 353, 469, 434, 417?
Answer: LCM of 542, 353, 469, 434, 417 is 1159964193738.
2. How to calculate the LCM of 542, 353, 469, 434, 417?
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 542, 353, 469, 434, 417.
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}.