LCM of 841, 284, 654, 554, 327
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 841, 284, 654, 554, 327 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, 284, 654, 554, 327. So, keep reading to learn more.
Given numbers are 841,284,654,554,327
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 841,284,654,554,327 is 21634250676.
Find LCM of 841,284,654,554,327 with Prime Factorization
| 2 | 841, 284, 654, 554, 327 |
| 3 | 841, 142, 327, 277, 327 |
| 109 | 841, 142, 109, 277, 109 |
| 841, 142, 1, 277, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 109 x 841 x 142 x 1 x 277 x 1 = 21634250676
Therefore, the lowest common multiple of 841,284,654,554,327 is 21634250676.
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 284 x 654 x 554 x 327 = 28297599884208
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
284 : 1, 2, 4, 71, 142, 284
654 : 1, 2, 3, 6, 109, 218, 327, 654
554 : 1, 2, 277, 554
327 : 1, 3, 109, 327
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,284,654,554,327, is 1.
Now, the common factors can be found like this.
841:29x 29
284:2x 2x 71
654:2x 3x 109
554:2x 277
327:3x 109
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 3x 109 = 1308
Therefore, the value for common factors is 1308.
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 = 28297599884208/(1x1308)
LCM = 28297599884208/1308
LCM = 21634250676
Thus, we can understand that the LCM of 841,284,654,554,327 is 21634250676.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 841, 284, 654, 554, 327
1. What is the LCM of 841, 284, 654, 554, 327?
Answer: LCM of 841, 284, 654, 554, 327 is 21634250676.
2. How to calculate the LCM of 841, 284, 654, 554, 327?
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, 284, 654, 554, 327.
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}.