LCM of 190, 738, 108, 253, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 190, 738, 108, 253, 949 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 190, 738, 108, 253, 949. So, keep reading to learn more.
Given numbers are 190,738,108,253,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 190,738,108,253,949 is 100999204020.
Find LCM of 190,738,108,253,949 with Prime Factorization
| 2 | 190, 738, 108, 253, 949 |
| 3 | 95, 369, 54, 253, 949 |
| 3 | 95, 123, 18, 253, 949 |
| 95, 41, 6, 253, 949 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 95 x 41 x 6 x 253 x 949 = 100999204020
Therefore, the lowest common multiple of 190,738,108,253,949 is 100999204020.
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.
190 x 738 x 108 x 253 x 949 = 3635971344720
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.
190 : 1, 2, 5, 10, 19, 38, 95, 190
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
253 : 1, 11, 23, 253
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,738,108,253,949, is 1.
Now, the common factors can be found like this.
190:2x 5x 19
738:2x 3x 3x 41
108:2x 2x 3x 3x 3
253:11x 23
949:13x 73
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 3635971344720/(1x36)
LCM = 3635971344720/36
LCM = 100999204020
Thus, we can understand that the LCM of 190,738,108,253,949 is 100999204020.
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FAQs on LCM of 190, 738, 108, 253, 949
1. What is the LCM of 190, 738, 108, 253, 949?
Answer: LCM of 190, 738, 108, 253, 949 is 100999204020.
2. How to calculate the LCM of 190, 738, 108, 253, 949?
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 190, 738, 108, 253, 949.
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}.