LCM of 841, 583, 493, 263, 629
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 841, 583, 493, 263, 629 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, 583, 493, 263, 629. So, keep reading to learn more.
Given numbers are 841,583,493,263,629
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 841,583,493,263,629 is 81109354381.
Find LCM of 841,583,493,263,629 with Prime Factorization
| 17 | 841, 583, 493, 263, 629 |
| 29 | 841, 583, 29, 263, 37 |
| 1, 583, 29, 263, 37 |
Multiply the prime numbers at the bottom and the left side.
17 x 29 x 1 x 583 x 29 x 263 x 37 = 81109354381
Therefore, the lowest common multiple of 841,583,493,263,629 is 81109354381.
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 583 x 493 x 263 x 629 = 39986911709833
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
583 : 1, 11, 53, 583
493 : 1, 17, 29, 493
263 : 1, 263
629 : 1, 17, 37, 629
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,583,493,263,629, is 1.
Now, the common factors can be found like this.
841:29x 29
583:11x 53
493:17x 29
263:263
629:17x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 29 = 493
Therefore, the value for common factors is 493.
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 = 39986911709833/(1x493)
LCM = 39986911709833/493
LCM = 81109354381
Thus, we can understand that the LCM of 841,583,493,263,629 is 81109354381.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 841, 583, 493, 263, 629
1. What is the LCM of 841, 583, 493, 263, 629?
Answer: LCM of 841, 583, 493, 263, 629 is 81109354381.
2. How to calculate the LCM of 841, 583, 493, 263, 629?
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, 583, 493, 263, 629.
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}.