LCM of 205, 948, 902, 720
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 205, 948, 902, 720 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 205, 948, 902, 720. So, keep reading to learn more.
Given numbers are 205,948,902,720
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 205,948,902,720 is 25652880.
Find LCM of 205,948,902,720 with Prime Factorization
| 2 | 205, 948, 902, 720 |
| 2 | 205, 474, 451, 360 |
| 3 | 205, 237, 451, 180 |
| 5 | 205, 79, 451, 60 |
| 41 | 41, 79, 451, 12 |
| 1, 79, 11, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 41 x 1 x 79 x 11 x 12 = 25652880
Therefore, the lowest common multiple of 205,948,902,720 is 25652880.
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.
205 x 948 x 902 x 720 = 126212169600
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.
205 : 1, 5, 41, 205
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
902 : 1, 2, 11, 22, 41, 82, 451, 902
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,948,902,720, is 1.
Now, the common factors can be found like this.
205:5x 41
948:2x 2x 3x 79
902:2x 11x 41
720:2x 2x 2x 2x 3x 3x 5
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 3x 5x 41 = 4920
Therefore, the value for common factors is 4920.
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 = 126212169600/(1x4920)
LCM = 126212169600/4920
LCM = 25652880
Thus, we can understand that the LCM of 205,948,902,720 is 25652880.
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FAQs on LCM of 205, 948, 902, 720
1. What is the LCM of 205, 948, 902, 720?
Answer: LCM of 205, 948, 902, 720 is 25652880.
2. How to calculate the LCM of 205, 948, 902, 720?
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 205, 948, 902, 720.
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}.