Find the LCM of 176, 969, 411, 552, 309 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 176, 969, 411, 552, 309. So, keep reading to learn more.
Given numbers are 176,969,411,552,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 176,969,411,552,309 is 55350566832.
Find LCM of 176,969,411,552,309 with Prime Factorization
2 | 176, 969, 411, 552, 309 |
2 | 88, 969, 411, 276, 309 |
2 | 44, 969, 411, 138, 309 |
3 | 22, 969, 411, 69, 309 |
22, 323, 137, 23, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 22 x 323 x 137 x 23 x 103 = 55350566832
Therefore, the lowest common multiple of 176,969,411,552,309 is 55350566832.
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.
176 x 969 x 411 x 552 x 309 = 11955722435712
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.
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
969 : 1, 3, 17, 19, 51, 57, 323, 969
411 : 1, 3, 137, 411
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 176,969,411,552,309, is 1.
Now, the common factors can be found like this.
176:2x 2x 2x 2x 11
969:3x 17x 19
411:3x 137
552:2x 2x 2x 3x 23
309:3x 103
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 3 = 216
Therefore, the value for common factors is 216.
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 = 11955722435712/(1x216)
LCM = 11955722435712/216
LCM = 55350566832
Thus, we can understand that the LCM of 176,969,411,552,309 is 55350566832.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 176, 969, 411, 552, 309?
Answer: LCM of 176, 969, 411, 552, 309 is 55350566832.
2. How to calculate the LCM of 176, 969, 411, 552, 309?
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 176, 969, 411, 552, 309.
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}.