LCM of 511, 635, 652, 438, 163
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 511, 635, 652, 438, 163 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 511, 635, 652, 438, 163. So, keep reading to learn more.
Given numbers are 511,635,652,438,163
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 511,635,652,438,163 is 634692660.
Find LCM of 511,635,652,438,163 with Prime Factorization
| 2 | 511, 635, 652, 438, 163 |
| 73 | 511, 635, 326, 219, 163 |
| 163 | 7, 635, 326, 3, 163 |
| 7, 635, 2, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 73 x 163 x 7 x 635 x 2 x 3 x 1 = 634692660
Therefore, the lowest common multiple of 511,635,652,438,163 is 634692660.
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.
511 x 635 x 652 x 438 x 163 = 15104415922680
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.
511 : 1, 7, 73, 511
635 : 1, 5, 127, 635
652 : 1, 2, 4, 163, 326, 652
438 : 1, 2, 3, 6, 73, 146, 219, 438
163 : 1, 163
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,635,652,438,163, is 1.
Now, the common factors can be found like this.
511:7x 73
635:5x 127
652:2x 2x 163
438:2x 3x 73
163:163
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 73x 163 = 23798
Therefore, the value for common factors is 23798.
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 = 15104415922680/(1x23798)
LCM = 15104415922680/23798
LCM = 634692660
Thus, we can understand that the LCM of 511,635,652,438,163 is 634692660.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 511, 635, 652, 438, 163
1. What is the LCM of 511, 635, 652, 438, 163?
Answer: LCM of 511, 635, 652, 438, 163 is 634692660.
2. How to calculate the LCM of 511, 635, 652, 438, 163?
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 511, 635, 652, 438, 163.
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}.