Find the LCM of 144, 551, 872, 261 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, 551, 872, 261. So, keep reading to learn more.
Given numbers are 144,551,872,261
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,551,872,261 is 8648496.
Find LCM of 144,551,872,261 with Prime Factorization
2 | 144, 551, 872, 261 |
2 | 72, 551, 436, 261 |
2 | 36, 551, 218, 261 |
3 | 18, 551, 109, 261 |
3 | 6, 551, 109, 87 |
29 | 2, 551, 109, 29 |
2, 19, 109, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 29 x 2 x 19 x 109 x 1 = 8648496
Therefore, the lowest common multiple of 144,551,872,261 is 8648496.
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 551 x 872 x 261 = 18058059648
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
551 : 1, 19, 29, 551
872 : 1, 2, 4, 8, 109, 218, 436, 872
261 : 1, 3, 9, 29, 87, 261
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,551,872,261, is 1.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
551:19x 29
872:2x 2x 2x 109
261:3x 3x 29
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 3x 3x 29 = 2088
Therefore, the value for common factors is 2088.
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 = 18058059648/(1x2088)
LCM = 18058059648/2088
LCM = 8648496
Thus, we can understand that the LCM of 144,551,872,261 is 8648496.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 144, 551, 872, 261?
Answer: LCM of 144, 551, 872, 261 is 8648496.
2. How to calculate the LCM of 144, 551, 872, 261?
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, 551, 872, 261.
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}.