LCM of 144, 231, 492, 574, 710
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 144, 231, 492, 574, 710 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 144, 231, 492, 574, 710. So, keep reading to learn more.
Given numbers are 144,231,492,574,710
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,231,492,574,710 is 161385840.
Find LCM of 144,231,492,574,710 with Prime Factorization
| 2 | 144, 231, 492, 574, 710 |
| 2 | 72, 231, 246, 287, 355 |
| 3 | 36, 231, 123, 287, 355 |
| 7 | 12, 77, 41, 287, 355 |
| 41 | 12, 11, 41, 41, 355 |
| 12, 11, 1, 1, 355 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 41 x 12 x 11 x 1 x 1 x 355 = 161385840
Therefore, the lowest common multiple of 144,231,492,574,710 is 161385840.
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.
144 x 231 x 492 x 574 x 710 = 6669753995520
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.
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
231 : 1, 3, 7, 11, 21, 33, 77, 231
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
574 : 1, 2, 7, 14, 41, 82, 287, 574
710 : 1, 2, 5, 10, 71, 142, 355, 710
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,231,492,574,710, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
231:3x 7x 11
492:2x 2x 3x 41
574:2x 7x 41
710:2x 5x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 3x 3x 7x 41 = 41328
Therefore, the value for common factors is 41328.
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 = 6669753995520/(1x41328)
LCM = 6669753995520/41328
LCM = 161385840
Thus, we can understand that the LCM of 144,231,492,574,710 is 161385840.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 144, 231, 492, 574, 710
1. What is the LCM of 144, 231, 492, 574, 710?
Answer: LCM of 144, 231, 492, 574, 710 is 161385840.
2. How to calculate the LCM of 144, 231, 492, 574, 710?
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 144, 231, 492, 574, 710.
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}.