LCM of 153, 811, 820, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 153, 811, 820, 369 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 153, 811, 820, 369. So, keep reading to learn more.
Given numbers are 153,811,820,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 153,811,820,369 is 101748060.
Find LCM of 153,811,820,369 with Prime Factorization
| 3 | 153, 811, 820, 369 |
| 3 | 51, 811, 820, 123 |
| 41 | 17, 811, 820, 41 |
| 17, 811, 20, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 41 x 17 x 811 x 20 x 1 = 101748060
Therefore, the lowest common multiple of 153,811,820,369 is 101748060.
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.
153 x 811 x 820 x 369 = 37545034140
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.
153 : 1, 3, 9, 17, 51, 153
811 : 1, 811
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 153,811,820,369, is 1.
Now, the common factors can be found like this.
153:3x 3x 17
811:811
820:2x 2x 5x 41
369:3x 3x 41
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 41 = 369
Therefore, the value for common factors is 369.
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 = 37545034140/(1x369)
LCM = 37545034140/369
LCM = 101748060
Thus, we can understand that the LCM of 153,811,820,369 is 101748060.
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FAQs on LCM of 153, 811, 820, 369
1. What is the LCM of 153, 811, 820, 369?
Answer: LCM of 153, 811, 820, 369 is 101748060.
2. How to calculate the LCM of 153, 811, 820, 369?
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 153, 811, 820, 369.
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}.