LCM of 649, 768, 990, 202, 829
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 649, 768, 990, 202, 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 649, 768, 990, 202, 829. So, keep reading to learn more.
Given numbers are 649,768,990,202,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,768,990,202,829 is 625998193920.
Find LCM of 649,768,990,202,829 with Prime Factorization
| 2 | 649, 768, 990, 202, 829 |
| 3 | 649, 384, 495, 101, 829 |
| 11 | 649, 128, 165, 101, 829 |
| 59, 128, 15, 101, 829 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 59 x 128 x 15 x 101 x 829 = 625998193920
Therefore, the lowest common multiple of 649,768,990,202,829 is 625998193920.
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.
649 x 768 x 990 x 202 x 829 = 82631761597440
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.
649 : 1, 11, 59, 649
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
202 : 1, 2, 101, 202
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,768,990,202,829, is 1.
Now, the common factors can be found like this.
649:11x 59
768:2x 2x 2x 2x 2x 2x 2x 2x 3
990:2x 3x 3x 5x 11
202:2x 101
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 3x 11 = 132
Therefore, the value for common factors is 132.
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 = 82631761597440/(1x132)
LCM = 82631761597440/132
LCM = 625998193920
Thus, we can understand that the LCM of 649,768,990,202,829 is 625998193920.
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FAQs on LCM of 649, 768, 990, 202, 829
1. What is the LCM of 649, 768, 990, 202, 829?
Answer: LCM of 649, 768, 990, 202, 829 is 625998193920.
2. How to calculate the LCM of 649, 768, 990, 202, 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 649, 768, 990, 202, 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}.