LCM of 465, 635, 529, 186, 704
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 465, 635, 529, 186, 704 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 465, 635, 529, 186, 704. So, keep reading to learn more.
Given numbers are 465,635,529,186,704
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 465,635,529,186,704 is 21993026880.
Find LCM of 465,635,529,186,704 with Prime Factorization
| 2 | 465, 635, 529, 186, 704 |
| 3 | 465, 635, 529, 93, 352 |
| 5 | 155, 635, 529, 31, 352 |
| 31 | 31, 127, 529, 31, 352 |
| 1, 127, 529, 1, 352 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 31 x 1 x 127 x 529 x 1 x 352 = 21993026880
Therefore, the lowest common multiple of 465,635,529,186,704 is 21993026880.
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.
465 x 635 x 529 x 186 x 704 = 20453514998400
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.
465 : 1, 3, 5, 15, 31, 93, 155, 465
635 : 1, 5, 127, 635
529 : 1, 23, 529
186 : 1, 2, 3, 6, 31, 62, 93, 186
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 465,635,529,186,704, is 1.
Now, the common factors can be found like this.
465:3x 5x 31
635:5x 127
529:23x 23
186:2x 3x 31
704:2x 2x 2x 2x 2x 2x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 31 = 930
Therefore, the value for common factors is 930.
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 = 20453514998400/(1x930)
LCM = 20453514998400/930
LCM = 21993026880
Thus, we can understand that the LCM of 465,635,529,186,704 is 21993026880.
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FAQs on LCM of 465, 635, 529, 186, 704
1. What is the LCM of 465, 635, 529, 186, 704?
Answer: LCM of 465, 635, 529, 186, 704 is 21993026880.
2. How to calculate the LCM of 465, 635, 529, 186, 704?
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 465, 635, 529, 186, 704.
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}.