LCM of 144, 709, 836, 972, 486
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 144, 709, 836, 972, 486 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, 709, 836, 972, 486. So, keep reading to learn more.
Given numbers are 144,709,836,972,486
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,709,836,972,486 is 576127728.
Find LCM of 144,709,836,972,486 with Prime Factorization
| 2 | 144, 709, 836, 972, 486 |
| 2 | 72, 709, 418, 486, 243 |
| 3 | 36, 709, 209, 243, 243 |
| 3 | 12, 709, 209, 81, 81 |
| 3 | 4, 709, 209, 27, 27 |
| 3 | 4, 709, 209, 9, 9 |
| 3 | 4, 709, 209, 3, 3 |
| 4, 709, 209, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 3 x 3 x 4 x 709 x 209 x 1 x 1 = 576127728
Therefore, the lowest common multiple of 144,709,836,972,486 is 576127728.
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 709 x 836 x 972 x 486 = 40319722916352
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
709 : 1, 709
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,709,836,972,486, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
709:709
836:2x 2x 11x 19
972:2x 2x 3x 3x 3x 3x 3
486:2x 3x 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 3x 3x 3x 3x 3x 3x 3 = 69984
Therefore, the value for common factors is 69984.
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 = 40319722916352/(1x69984)
LCM = 40319722916352/69984
LCM = 576127728
Thus, we can understand that the LCM of 144,709,836,972,486 is 576127728.
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FAQs on LCM of 144, 709, 836, 972, 486
1. What is the LCM of 144, 709, 836, 972, 486?
Answer: LCM of 144, 709, 836, 972, 486 is 576127728.
2. How to calculate the LCM of 144, 709, 836, 972, 486?
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, 709, 836, 972, 486.
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}.