LCM of 389, 736, 702, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 389, 736, 702, 144 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 389, 736, 702, 144. So, keep reading to learn more.
Given numbers are 389,736,702,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 389,736,702,144 is 100492704.
Find LCM of 389,736,702,144 with Prime Factorization
| 2 | 389, 736, 702, 144 |
| 2 | 389, 368, 351, 72 |
| 2 | 389, 184, 351, 36 |
| 2 | 389, 92, 351, 18 |
| 3 | 389, 46, 351, 9 |
| 3 | 389, 46, 117, 3 |
| 389, 46, 39, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 389 x 46 x 39 x 1 = 100492704
Therefore, the lowest common multiple of 389,736,702,144 is 100492704.
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.
389 x 736 x 702 x 144 = 28941898752
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.
389 : 1, 389
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 389,736,702,144, is 1.
Now, the common factors can be found like this.
389:389
736:2x 2x 2x 2x 2x 23
702:2x 3x 3x 3x 13
144:2x 2x 2x 2x 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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 28941898752/(1x288)
LCM = 28941898752/288
LCM = 100492704
Thus, we can understand that the LCM of 389,736,702,144 is 100492704.
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FAQs on LCM of 389, 736, 702, 144
1. What is the LCM of 389, 736, 702, 144?
Answer: LCM of 389, 736, 702, 144 is 100492704.
2. How to calculate the LCM of 389, 736, 702, 144?
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 389, 736, 702, 144.
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}.