Find the LCM of 103, 198, 902, 629, 670 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 103, 198, 902, 629, 670. So, keep reading to learn more.
Given numbers are 103,198,902,629,670
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 103,198,902,629,670 is 176190190110.
Find LCM of 103,198,902,629,670 with Prime Factorization
2 | 103, 198, 902, 629, 670 |
11 | 103, 99, 451, 629, 335 |
103, 9, 41, 629, 335 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 103 x 9 x 41 x 629 x 335 = 176190190110
Therefore, the lowest common multiple of 103,198,902,629,670 is 176190190110.
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.
103 x 198 x 902 x 629 x 670 = 7752368364840
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.
103 : 1, 103
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
902 : 1, 2, 11, 22, 41, 82, 451, 902
629 : 1, 17, 37, 629
670 : 1, 2, 5, 10, 67, 134, 335, 670
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,198,902,629,670, is 1.
Now, the common factors can be found like this.
103:103
198:2x 3x 3x 11
902:2x 11x 41
629:17x 37
670:2x 5x 67
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 11 = 44
Therefore, the value for common factors is 44.
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 = 7752368364840/(1x44)
LCM = 7752368364840/44
LCM = 176190190110
Thus, we can understand that the LCM of 103,198,902,629,670 is 176190190110.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 103, 198, 902, 629, 670?
Answer: LCM of 103, 198, 902, 629, 670 is 176190190110.
2. How to calculate the LCM of 103, 198, 902, 629, 670?
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 103, 198, 902, 629, 670.
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}.