Find the LCM of 102, 228, 242, 950, 737 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 102, 228, 242, 950, 737. So, keep reading to learn more.
Given numbers are 102,228,242,950,737
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 102,228,242,950,737 is 785568300.
Find LCM of 102,228,242,950,737 with Prime Factorization
2 | 102, 228, 242, 950, 737 |
3 | 51, 114, 121, 475, 737 |
11 | 17, 38, 121, 475, 737 |
19 | 17, 38, 11, 475, 67 |
17, 2, 11, 25, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 17 x 2 x 11 x 25 x 67 = 785568300
Therefore, the lowest common multiple of 102,228,242,950,737 is 785568300.
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.
102 x 228 x 242 x 950 x 737 = 3940410592800
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.
102 : 1, 2, 3, 6, 17, 34, 51, 102
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
242 : 1, 2, 11, 22, 121, 242
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
737 : 1, 11, 67, 737
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,228,242,950,737, is 1.
Now, the common factors can be found like this.
102:2x 3x 17
228:2x 2x 3x 19
242:2x 11x 11
950:2x 5x 5x 19
737:11x 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 2x 3x 11x 19 = 5016
Therefore, the value for common factors is 5016.
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 = 3940410592800/(1x5016)
LCM = 3940410592800/5016
LCM = 785568300
Thus, we can understand that the LCM of 102,228,242,950,737 is 785568300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 102, 228, 242, 950, 737?
Answer: LCM of 102, 228, 242, 950, 737 is 785568300.
2. How to calculate the LCM of 102, 228, 242, 950, 737?
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 102, 228, 242, 950, 737.
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}.