LCM of 441, 957, 822, 411
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 441, 957, 822, 411 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 441, 957, 822, 411. So, keep reading to learn more.
Given numbers are 441,957,822,411
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 441,957,822,411 is 38546046.
Find LCM of 441,957,822,411 with Prime Factorization
| 3 | 441, 957, 822, 411 |
| 137 | 147, 319, 274, 137 |
| 147, 319, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 137 x 147 x 319 x 2 x 1 = 38546046
Therefore, the lowest common multiple of 441,957,822,411 is 38546046.
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.
441 x 957 x 822 x 411 = 142581824154
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.
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
957 : 1, 3, 11, 29, 33, 87, 319, 957
822 : 1, 2, 3, 6, 137, 274, 411, 822
411 : 1, 3, 137, 411
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 441,957,822,411, is 3.
Now, the common factors can be found like this.
441:3x 3x 7x 7
957:3x 11x 29
822:2x 3x 137
411:3x 137
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 137 = 1233
Therefore, the value for common factors is 1233.
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 = 142581824154/(3x1233)
LCM = 142581824154/3699
LCM = 38546046
Thus, we can understand that the LCM of 441,957,822,411 is 38546046.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 441, 957, 822, 411
1. What is the LCM of 441, 957, 822, 411?
Answer: LCM of 441, 957, 822, 411 is 38546046.
2. How to calculate the LCM of 441, 957, 822, 411?
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 441, 957, 822, 411.
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}.