LCM of 682, 745, 841, 155
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 682, 745, 841, 155 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 682, 745, 841, 155. So, keep reading to learn more.
Given numbers are 682,745,841,155
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,745,841,155 is 427303690.
Find LCM of 682,745,841,155 with Prime Factorization
| 5 | 682, 745, 841, 155 |
| 31 | 682, 149, 841, 31 |
| 22, 149, 841, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 31 x 22 x 149 x 841 x 1 = 427303690
Therefore, the lowest common multiple of 682,745,841,155 is 427303690.
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.
682 x 745 x 841 x 155 = 66232071950
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
745 : 1, 5, 149, 745
841 : 1, 29, 841
155 : 1, 5, 31, 155
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,745,841,155, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
745:5x 149
841:29x 29
155:5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 31 = 155
Therefore, the value for common factors is 155.
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 = 66232071950/(1x155)
LCM = 66232071950/155
LCM = 427303690
Thus, we can understand that the LCM of 682,745,841,155 is 427303690.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 682, 745, 841, 155
1. What is the LCM of 682, 745, 841, 155?
Answer: LCM of 682, 745, 841, 155 is 427303690.
2. How to calculate the LCM of 682, 745, 841, 155?
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 682, 745, 841, 155.
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}.