LCM of 841, 412, 627, 468, 954
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 841, 412, 627, 468, 954 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 841, 412, 627, 468, 954. So, keep reading to learn more.
Given numbers are 841,412,627,468,954
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 841,412,627,468,954 is 449056750428.
Find LCM of 841,412,627,468,954 with Prime Factorization
| 2 | 841, 412, 627, 468, 954 |
| 2 | 841, 206, 627, 234, 477 |
| 3 | 841, 103, 627, 117, 477 |
| 3 | 841, 103, 209, 39, 159 |
| 841, 103, 209, 13, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 841 x 103 x 209 x 13 x 53 = 449056750428
Therefore, the lowest common multiple of 841,412,627,468,954 is 449056750428.
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.
841 x 412 x 627 x 468 x 954 = 96996258092448
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.
841 : 1, 29, 841
412 : 1, 2, 4, 103, 206, 412
627 : 1, 3, 11, 19, 33, 57, 209, 627
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,412,627,468,954, is 1.
Now, the common factors can be found like this.
841:29x 29
412:2x 2x 103
627:3x 11x 19
468:2x 2x 3x 3x 13
954:2x 3x 3x 53
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 3 = 216
Therefore, the value for common factors is 216.
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 = 96996258092448/(1x216)
LCM = 96996258092448/216
LCM = 449056750428
Thus, we can understand that the LCM of 841,412,627,468,954 is 449056750428.
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FAQs on LCM of 841, 412, 627, 468, 954
1. What is the LCM of 841, 412, 627, 468, 954?
Answer: LCM of 841, 412, 627, 468, 954 is 449056750428.
2. How to calculate the LCM of 841, 412, 627, 468, 954?
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 841, 412, 627, 468, 954.
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}.