LCM of 517, 634, 429, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 634, 429, 221 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 517, 634, 429, 221. So, keep reading to learn more.
Given numbers are 517,634,429,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,634,429,221 is 217316814.
Find LCM of 517,634,429,221 with Prime Factorization
| 11 | 517, 634, 429, 221 |
| 13 | 47, 634, 39, 221 |
| 47, 634, 3, 17 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 47 x 634 x 3 x 17 = 217316814
Therefore, the lowest common multiple of 517,634,429,221 is 217316814.
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.
517 x 634 x 429 x 221 = 31076304402
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.
517 : 1, 11, 47, 517
634 : 1, 2, 317, 634
429 : 1, 3, 11, 13, 33, 39, 143, 429
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,634,429,221, is 1.
Now, the common factors can be found like this.
517:11x 47
634:2x 317
429:3x 11x 13
221:13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13 = 143
Therefore, the value for common factors is 143.
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 = 31076304402/(1x143)
LCM = 31076304402/143
LCM = 217316814
Thus, we can understand that the LCM of 517,634,429,221 is 217316814.
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FAQs on LCM of 517, 634, 429, 221
1. What is the LCM of 517, 634, 429, 221?
Answer: LCM of 517, 634, 429, 221 is 217316814.
2. How to calculate the LCM of 517, 634, 429, 221?
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 517, 634, 429, 221.
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}.