Find the LCM of 248, 484, 882, 608, 129 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 248, 484, 882, 608, 129. So, keep reading to learn more.
Given numbers are 248,484,882,608,129
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 248,484,882,608,129 is 43247169504.
Find LCM of 248,484,882,608,129 with Prime Factorization
2 | 248, 484, 882, 608, 129 |
2 | 124, 242, 441, 304, 129 |
2 | 62, 121, 441, 152, 129 |
3 | 31, 121, 441, 76, 129 |
31, 121, 147, 76, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 31 x 121 x 147 x 76 x 43 = 43247169504
Therefore, the lowest common multiple of 248,484,882,608,129 is 43247169504.
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.
248 x 484 x 882 x 608 x 129 = 8303456544768
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.
248 : 1, 2, 4, 8, 31, 62, 124, 248
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
129 : 1, 3, 43, 129
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 248,484,882,608,129, is 1.
Now, the common factors can be found like this.
248:2x 2x 2x 31
484:2x 2x 11x 11
882:2x 3x 3x 7x 7
608:2x 2x 2x 2x 2x 19
129:3x 43
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 2x 3 = 192
Therefore, the value for common factors is 192.
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 = 8303456544768/(1x192)
LCM = 8303456544768/192
LCM = 43247169504
Thus, we can understand that the LCM of 248,484,882,608,129 is 43247169504.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 248, 484, 882, 608, 129?
Answer: LCM of 248, 484, 882, 608, 129 is 43247169504.
2. How to calculate the LCM of 248, 484, 882, 608, 129?
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 248, 484, 882, 608, 129.
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}.