LCM of 630, 909, 729, 529, 920
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 630, 909, 729, 529, 920 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 630, 909, 729, 529, 920. So, keep reading to learn more.
Given numbers are 630,909,729,529,920
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 630,909,729,529,920 is 10905927480.
Find LCM of 630,909,729,529,920 with Prime Factorization
| 2 | 630, 909, 729, 529, 920 |
| 3 | 315, 909, 729, 529, 460 |
| 3 | 105, 303, 243, 529, 460 |
| 5 | 35, 101, 81, 529, 460 |
| 23 | 7, 101, 81, 529, 92 |
| 7, 101, 81, 23, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 23 x 7 x 101 x 81 x 23 x 4 = 10905927480
Therefore, the lowest common multiple of 630,909,729,529,920 is 10905927480.
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.
630 x 909 x 729 x 529 x 920 = 203177428952400
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.
630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
909 : 1, 3, 9, 101, 303, 909
729 : 1, 3, 9, 27, 81, 243, 729
529 : 1, 23, 529
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,909,729,529,920, is 1.
Now, the common factors can be found like this.
630:2x 3x 3x 5x 7
909:3x 3x 101
729:3x 3x 3x 3x 3x 3
529:23x 23
920:2x 2x 2x 5x 23
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 3x 3x 3x 5x 23 = 18630
Therefore, the value for common factors is 18630.
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 = 203177428952400/(1x18630)
LCM = 203177428952400/18630
LCM = 10905927480
Thus, we can understand that the LCM of 630,909,729,529,920 is 10905927480.
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FAQs on LCM of 630, 909, 729, 529, 920
1. What is the LCM of 630, 909, 729, 529, 920?
Answer: LCM of 630, 909, 729, 529, 920 is 10905927480.
2. How to calculate the LCM of 630, 909, 729, 529, 920?
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 630, 909, 729, 529, 920.
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}.