LCM of 827, 828, 851, 465, 635
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 827, 828, 851, 465, 635 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 827, 828, 851, 465, 635. So, keep reading to learn more.
Given numbers are 827,828,851,465,635
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 827,828,851,465,635 is 498738608820.
Find LCM of 827,828,851,465,635 with Prime Factorization
| 3 | 827, 828, 851, 465, 635 |
| 5 | 827, 276, 851, 155, 635 |
| 23 | 827, 276, 851, 31, 127 |
| 827, 12, 37, 31, 127 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 23 x 827 x 12 x 37 x 31 x 127 = 498738608820
Therefore, the lowest common multiple of 827,828,851,465,635 is 498738608820.
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.
827 x 828 x 851 x 465 x 635 = 172064820042900
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.
827 : 1, 827
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
851 : 1, 23, 37, 851
465 : 1, 3, 5, 15, 31, 93, 155, 465
635 : 1, 5, 127, 635
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 827,828,851,465,635, is 1.
Now, the common factors can be found like this.
827:827
828:2x 2x 3x 3x 23
851:23x 37
465:3x 5x 31
635:5x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 23 = 345
Therefore, the value for common factors is 345.
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 = 172064820042900/(1x345)
LCM = 172064820042900/345
LCM = 498738608820
Thus, we can understand that the LCM of 827,828,851,465,635 is 498738608820.
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FAQs on LCM of 827, 828, 851, 465, 635
1. What is the LCM of 827, 828, 851, 465, 635?
Answer: LCM of 827, 828, 851, 465, 635 is 498738608820.
2. How to calculate the LCM of 827, 828, 851, 465, 635?
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 827, 828, 851, 465, 635.
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}.