LCM of 821, 413, 343, 767, 295
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 821, 413, 343, 767, 295 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 821, 413, 343, 767, 295. So, keep reading to learn more.
Given numbers are 821,413,343,767,295
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 821,413,343,767,295 is 1079947505.
Find LCM of 821,413,343,767,295 with Prime Factorization
| 7 | 821, 413, 343, 767, 295 |
| 59 | 821, 59, 49, 767, 295 |
| 821, 1, 49, 13, 5 |
Multiply the prime numbers at the bottom and the left side.
7 x 59 x 821 x 1 x 49 x 13 x 5 = 1079947505
Therefore, the lowest common multiple of 821,413,343,767,295 is 1079947505.
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.
821 x 413 x 343 x 767 x 295 = 26315080854335
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.
821 : 1, 821
413 : 1, 7, 59, 413
343 : 1, 7, 49, 343
767 : 1, 13, 59, 767
295 : 1, 5, 59, 295
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,413,343,767,295, is 1.
Now, the common factors can be found like this.
821:821
413:7x 59
343:7x 7x 7
767:13x 59
295:5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 59x 59 = 24367
Therefore, the value for common factors is 24367.
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 = 26315080854335/(1x24367)
LCM = 26315080854335/24367
LCM = 1079947505
Thus, we can understand that the LCM of 821,413,343,767,295 is 1079947505.
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FAQs on LCM of 821, 413, 343, 767, 295
1. What is the LCM of 821, 413, 343, 767, 295?
Answer: LCM of 821, 413, 343, 767, 295 is 1079947505.
2. How to calculate the LCM of 821, 413, 343, 767, 295?
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 821, 413, 343, 767, 295.
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}.