LCM of 456, 789, 636, 845, 144
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 456, 789, 636, 845, 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 456, 789, 636, 845, 144. So, keep reading to learn more.
Given numbers are 456,789,636,845,144
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 456,789,636,845,144 is 32225852880.
Find LCM of 456,789,636,845,144 with Prime Factorization
| 2 | 456, 789, 636, 845, 144 |
| 2 | 228, 789, 318, 845, 72 |
| 2 | 114, 789, 159, 845, 36 |
| 3 | 57, 789, 159, 845, 18 |
| 19, 263, 53, 845, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 263 x 53 x 845 x 6 = 32225852880
Therefore, the lowest common multiple of 456,789,636,845,144 is 32225852880.
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.
456 x 789 x 636 x 845 x 144 = 27843136888320
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.
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
789 : 1, 3, 263, 789
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
845 : 1, 5, 13, 65, 169, 845
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 456,789,636,845,144, is 1.
Now, the common factors can be found like this.
456:2x 2x 2x 3x 19
789:3x 263
636:2x 2x 3x 53
845:5x 13x 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 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 27843136888320/(1x864)
LCM = 27843136888320/864
LCM = 32225852880
Thus, we can understand that the LCM of 456,789,636,845,144 is 32225852880.
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FAQs on LCM of 456, 789, 636, 845, 144
1. What is the LCM of 456, 789, 636, 845, 144?
Answer: LCM of 456, 789, 636, 845, 144 is 32225852880.
2. How to calculate the LCM of 456, 789, 636, 845, 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 456, 789, 636, 845, 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}.