LCM of 768, 198, 121, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 768, 198, 121, 900 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 768, 198, 121, 900. So, keep reading to learn more.
Given numbers are 768,198,121,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 768,198,121,900 is 6969600.
Find LCM of 768,198,121,900 with Prime Factorization
| 2 | 768, 198, 121, 900 |
| 2 | 384, 99, 121, 450 |
| 3 | 192, 99, 121, 225 |
| 3 | 64, 33, 121, 75 |
| 11 | 64, 11, 121, 25 |
| 64, 1, 11, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 11 x 64 x 1 x 11 x 25 = 6969600
Therefore, the lowest common multiple of 768,198,121,900 is 6969600.
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.
768 x 198 x 121 x 900 = 16559769600
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.
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
121 : 1, 11, 121
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,198,121,900, is 1.
Now, the common factors can be found like this.
768:2x 2x 2x 2x 2x 2x 2x 2x 3
198:2x 3x 3x 11
121:11x 11
900:2x 2x 3x 3x 5x 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 3x 3x 11 = 2376
Therefore, the value for common factors is 2376.
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 = 16559769600/(1x2376)
LCM = 16559769600/2376
LCM = 6969600
Thus, we can understand that the LCM of 768,198,121,900 is 6969600.
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FAQs on LCM of 768, 198, 121, 900
1. What is the LCM of 768, 198, 121, 900?
Answer: LCM of 768, 198, 121, 900 is 6969600.
2. How to calculate the LCM of 768, 198, 121, 900?
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 768, 198, 121, 900.
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}.