LCM of 387, 521, 563, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 387, 521, 563, 909 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 387, 521, 563, 909. So, keep reading to learn more.
Given numbers are 387,521,563,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 387,521,563,909 is 11465116101.
Find LCM of 387,521,563,909 with Prime Factorization
| 3 | 387, 521, 563, 909 |
| 3 | 129, 521, 563, 303 |
| 43, 521, 563, 101 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 43 x 521 x 563 x 101 = 11465116101
Therefore, the lowest common multiple of 387,521,563,909 is 11465116101.
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.
387 x 521 x 563 x 909 = 103186044909
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.
387 : 1, 3, 9, 43, 129, 387
521 : 1, 521
563 : 1, 563
909 : 1, 3, 9, 101, 303, 909
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 387,521,563,909, is 1.
Now, the common factors can be found like this.
387:3x 3x 43
521:521
563:563
909:3x 3x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3 = 9
Therefore, the value for common factors is 9.
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 = 103186044909/(1x9)
LCM = 103186044909/9
LCM = 11465116101
Thus, we can understand that the LCM of 387,521,563,909 is 11465116101.
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FAQs on LCM of 387, 521, 563, 909
1. What is the LCM of 387, 521, 563, 909?
Answer: LCM of 387, 521, 563, 909 is 11465116101.
2. How to calculate the LCM of 387, 521, 563, 909?
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 387, 521, 563, 909.
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}.