LCM of 345, 437, 690, 703, 241
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 345, 437, 690, 703, 241 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 345, 437, 690, 703, 241. So, keep reading to learn more.
Given numbers are 345,437,690,703,241
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 345,437,690,703,241 is 116901870.
Find LCM of 345,437,690,703,241 with Prime Factorization
| 3 | 345, 437, 690, 703, 241 |
| 5 | 115, 437, 230, 703, 241 |
| 19 | 23, 437, 46, 703, 241 |
| 23 | 23, 23, 46, 37, 241 |
| 1, 1, 2, 37, 241 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 19 x 23 x 1 x 1 x 2 x 37 x 241 = 116901870
Therefore, the lowest common multiple of 345,437,690,703,241 is 116901870.
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.
345 x 437 x 690 x 703 x 241 = 17624710430550
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.
345 : 1, 3, 5, 15, 23, 69, 115, 345
437 : 1, 19, 23, 437
690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
703 : 1, 19, 37, 703
241 : 1, 241
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 345,437,690,703,241, is 1.
Now, the common factors can be found like this.
345:3x 5x 23
437:19x 23
690:2x 3x 5x 23
703:19x 37
241:241
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 19x 23x 23 = 150765
Therefore, the value for common factors is 150765.
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 = 17624710430550/(1x150765)
LCM = 17624710430550/150765
LCM = 116901870
Thus, we can understand that the LCM of 345,437,690,703,241 is 116901870.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 345, 437, 690, 703, 241
1. What is the LCM of 345, 437, 690, 703, 241?
Answer: LCM of 345, 437, 690, 703, 241 is 116901870.
2. How to calculate the LCM of 345, 437, 690, 703, 241?
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 345, 437, 690, 703, 241.
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}.