LCM of 144, 840, 149, 243, 648
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 144, 840, 149, 243, 648 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, 840, 149, 243, 648. So, keep reading to learn more.
Given numbers are 144,840,149,243,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,840,149,243,648 is 20275920.
Find LCM of 144,840,149,243,648 with Prime Factorization
| 2 | 144, 840, 149, 243, 648 |
| 2 | 72, 420, 149, 243, 324 |
| 2 | 36, 210, 149, 243, 162 |
| 3 | 18, 105, 149, 243, 81 |
| 3 | 6, 35, 149, 27, 81 |
| 3 | 2, 35, 149, 9, 27 |
| 3 | 2, 35, 149, 3, 9 |
| 2, 35, 149, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 3 x 2 x 35 x 149 x 1 x 3 = 20275920
Therefore, the lowest common multiple of 144,840,149,243,648 is 20275920.
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 840 x 149 x 243 x 648 = 2837979970560
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
840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
149 : 1, 149
243 : 1, 3, 9, 27, 81, 243
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,840,149,243,648, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
840:2x 2x 2x 3x 5x 7
149:149
243:3x 3x 3x 3x 3
648:2x 2x 2x 3x 3x 3x 3
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 2x 2x 3x 3x 3x 3x 3x 3x 3 = 139968
Therefore, the value for common factors is 139968.
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 = 2837979970560/(1x139968)
LCM = 2837979970560/139968
LCM = 20275920
Thus, we can understand that the LCM of 144,840,149,243,648 is 20275920.
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FAQs on LCM of 144, 840, 149, 243, 648
1. What is the LCM of 144, 840, 149, 243, 648?
Answer: LCM of 144, 840, 149, 243, 648 is 20275920.
2. How to calculate the LCM of 144, 840, 149, 243, 648?
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, 840, 149, 243, 648.
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}.