LCM of 945, 411, 363, 363
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 945, 411, 363, 363 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 945, 411, 363, 363. So, keep reading to learn more.
Given numbers are 945,411,363,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 945,411,363,363 is 15665265.
Find LCM of 945,411,363,363 with Prime Factorization
| 3 | 945, 411, 363, 363 |
| 11 | 315, 137, 121, 121 |
| 11 | 315, 137, 11, 11 |
| 315, 137, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 11 x 315 x 137 x 1 x 1 = 15665265
Therefore, the lowest common multiple of 945,411,363,363 is 15665265.
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.
945 x 411 x 363 x 363 = 51178420755
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.
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
411 : 1, 3, 137, 411
363 : 1, 3, 11, 33, 121, 363
363 : 1, 3, 11, 33, 121, 363
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 945,411,363,363, is 3.
Now, the common factors can be found like this.
945:3x 3x 3x 5x 7
411:3x 137
363:3x 11x 11
363:3x 11x 11
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 11x 11 = 1089
Therefore, the value for common factors is 1089.
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 = 51178420755/(3x1089)
LCM = 51178420755/3267
LCM = 15665265
Thus, we can understand that the LCM of 945,411,363,363 is 15665265.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 945, 411, 363, 363
1. What is the LCM of 945, 411, 363, 363?
Answer: LCM of 945, 411, 363, 363 is 15665265.
2. How to calculate the LCM of 945, 411, 363, 363?
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 945, 411, 363, 363.
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}.