Find the LCM of 133, 770, 520, 576, 829 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 133, 770, 520, 576, 829. So, keep reading to learn more.
Given numbers are 133,770,520,576,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 133,770,520,576,829 is 45408242880.
Find LCM of 133,770,520,576,829 with Prime Factorization
2 | 133, 770, 520, 576, 829 |
2 | 133, 385, 260, 288, 829 |
2 | 133, 385, 130, 144, 829 |
5 | 133, 385, 65, 72, 829 |
7 | 133, 77, 13, 72, 829 |
19, 11, 13, 72, 829 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 7 x 19 x 11 x 13 x 72 x 829 = 45408242880
Therefore, the lowest common multiple of 133,770,520,576,829 is 45408242880.
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.
133 x 770 x 520 x 576 x 829 = 25428616012800
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.
133 : 1, 7, 19, 133
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 133,770,520,576,829, is 1.
Now, the common factors can be found like this.
133:7x 19
770:2x 5x 7x 11
520:2x 2x 2x 5x 13
576:2x 2x 2x 2x 2x 2x 3x 3
829:829
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 5x 7 = 560
Therefore, the value for common factors is 560.
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 = 25428616012800/(1x560)
LCM = 25428616012800/560
LCM = 45408242880
Thus, we can understand that the LCM of 133,770,520,576,829 is 45408242880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 133, 770, 520, 576, 829?
Answer: LCM of 133, 770, 520, 576, 829 is 45408242880.
2. How to calculate the LCM of 133, 770, 520, 576, 829?
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 133, 770, 520, 576, 829.
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}.