LCM of 360, 723, 490, 869, 241
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 360, 723, 490, 869, 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 360, 723, 490, 869, 241. So, keep reading to learn more.
Given numbers are 360,723,490,869,241
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 360,723,490,869,241 is 3694327560.
Find LCM of 360,723,490,869,241 with Prime Factorization
| 2 | 360, 723, 490, 869, 241 |
| 3 | 180, 723, 245, 869, 241 |
| 5 | 60, 241, 245, 869, 241 |
| 241 | 12, 241, 49, 869, 241 |
| 12, 1, 49, 869, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 241 x 12 x 1 x 49 x 869 x 1 = 3694327560
Therefore, the lowest common multiple of 360,723,490,869,241 is 3694327560.
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.
360 x 723 x 490 x 869 x 241 = 26709988258800
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.
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
723 : 1, 3, 241, 723
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
869 : 1, 11, 79, 869
241 : 1, 241
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 360,723,490,869,241, is 1.
Now, the common factors can be found like this.
360:2x 2x 2x 3x 3x 5
723:3x 241
490:2x 5x 7x 7
869:11x 79
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.
2x 3x 5x 241 = 7230
Therefore, the value for common factors is 7230.
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 = 26709988258800/(1x7230)
LCM = 26709988258800/7230
LCM = 3694327560
Thus, we can understand that the LCM of 360,723,490,869,241 is 3694327560.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 360, 723, 490, 869, 241
1. What is the LCM of 360, 723, 490, 869, 241?
Answer: LCM of 360, 723, 490, 869, 241 is 3694327560.
2. How to calculate the LCM of 360, 723, 490, 869, 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 360, 723, 490, 869, 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}.