Find the LCM of 180, 447, 415, 902, 980 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 180, 447, 415, 902, 980. So, keep reading to learn more.
Given numbers are 180,447,415,902,980
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 180,447,415,902,980 is 49193699940.
Find LCM of 180,447,415,902,980 with Prime Factorization
2 | 180, 447, 415, 902, 980 |
2 | 90, 447, 415, 451, 490 |
3 | 45, 447, 415, 451, 245 |
5 | 15, 149, 415, 451, 245 |
3, 149, 83, 451, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 3 x 149 x 83 x 451 x 49 = 49193699940
Therefore, the lowest common multiple of 180,447,415,902,980 is 49193699940.
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.
180 x 447 x 415 x 902 x 980 = 29516219964000
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.
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
447 : 1, 3, 149, 447
415 : 1, 5, 83, 415
902 : 1, 2, 11, 22, 41, 82, 451, 902
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 180,447,415,902,980, is 1.
Now, the common factors can be found like this.
180:2x 2x 3x 3x 5
447:3x 149
415:5x 83
902:2x 11x 41
980:2x 2x 5x 7x 7
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 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 29516219964000/(1x600)
LCM = 29516219964000/600
LCM = 49193699940
Thus, we can understand that the LCM of 180,447,415,902,980 is 49193699940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 180, 447, 415, 902, 980?
Answer: LCM of 180, 447, 415, 902, 980 is 49193699940.
2. How to calculate the LCM of 180, 447, 415, 902, 980?
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 180, 447, 415, 902, 980.
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}.