LCM of 841, 798, 629, 119, 557
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 841, 798, 629, 119, 557 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, 798, 629, 119, 557. So, keep reading to learn more.
Given numbers are 841,798,629,119,557
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 841,798,629,119,557 is 235128204654.
Find LCM of 841,798,629,119,557 with Prime Factorization
| 7 | 841, 798, 629, 119, 557 |
| 17 | 841, 114, 629, 17, 557 |
| 841, 114, 37, 1, 557 |
Multiply the prime numbers at the bottom and the left side.
7 x 17 x 841 x 114 x 37 x 1 x 557 = 235128204654
Therefore, the lowest common multiple of 841,798,629,119,557 is 235128204654.
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 798 x 629 x 119 x 557 = 27980256353826
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
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
629 : 1, 17, 37, 629
119 : 1, 7, 17, 119
557 : 1, 557
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,798,629,119,557, is 1.
Now, the common factors can be found like this.
841:29x 29
798:2x 3x 7x 19
629:17x 37
119:7x 17
557:557
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 17 = 119
Therefore, the value for common factors is 119.
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 = 27980256353826/(1x119)
LCM = 27980256353826/119
LCM = 235128204654
Thus, we can understand that the LCM of 841,798,629,119,557 is 235128204654.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 841, 798, 629, 119, 557
1. What is the LCM of 841, 798, 629, 119, 557?
Answer: LCM of 841, 798, 629, 119, 557 is 235128204654.
2. How to calculate the LCM of 841, 798, 629, 119, 557?
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, 798, 629, 119, 557.
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}.