LCM of 845, 330, 769, 909, 507
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 330, 769, 909, 507 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 845, 330, 769, 909, 507. So, keep reading to learn more.
Given numbers are 845,330,769,909,507
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,330,769,909,507 is 12994800390.
Find LCM of 845,330,769,909,507 with Prime Factorization
| 3 | 845, 330, 769, 909, 507 |
| 5 | 845, 110, 769, 303, 169 |
| 13 | 169, 22, 769, 303, 169 |
| 13 | 13, 22, 769, 303, 13 |
| 1, 22, 769, 303, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 13 x 13 x 1 x 22 x 769 x 303 x 1 = 12994800390
Therefore, the lowest common multiple of 845,330,769,909,507 is 12994800390.
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.
845 x 330 x 769 x 909 x 507 = 98825456965950
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.
845 : 1, 5, 13, 65, 169, 845
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
769 : 1, 769
909 : 1, 3, 9, 101, 303, 909
507 : 1, 3, 13, 39, 169, 507
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,330,769,909,507, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
330:2x 3x 5x 11
769:769
909:3x 3x 101
507:3x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 13x 13 = 7605
Therefore, the value for common factors is 7605.
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 = 98825456965950/(1x7605)
LCM = 98825456965950/7605
LCM = 12994800390
Thus, we can understand that the LCM of 845,330,769,909,507 is 12994800390.
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FAQs on LCM of 845, 330, 769, 909, 507
1. What is the LCM of 845, 330, 769, 909, 507?
Answer: LCM of 845, 330, 769, 909, 507 is 12994800390.
2. How to calculate the LCM of 845, 330, 769, 909, 507?
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 845, 330, 769, 909, 507.
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}.