LCM of 103, 372, 998, 303, 194
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 103, 372, 998, 303, 194 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, 372, 998, 303, 194. So, keep reading to learn more.
Given numbers are 103,372,998,303,194
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 103,372,998,303,194 is 187315544148.
Find LCM of 103,372,998,303,194 with Prime Factorization
| 2 | 103, 372, 998, 303, 194 |
| 3 | 103, 186, 499, 303, 97 |
| 103, 62, 499, 101, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 103 x 62 x 499 x 101 x 97 = 187315544148
Therefore, the lowest common multiple of 103,372,998,303,194 is 187315544148.
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 372 x 998 x 303 x 194 = 2247786529776
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
372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
998 : 1, 2, 499, 998
303 : 1, 3, 101, 303
194 : 1, 2, 97, 194
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,372,998,303,194, is 1.
Now, the common factors can be found like this.
103:103
372:2x 2x 3x 31
998:2x 499
303:3x 101
194:2x 97
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 3 = 12
Therefore, the value for common factors is 12.
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 = 2247786529776/(1x12)
LCM = 2247786529776/12
LCM = 187315544148
Thus, we can understand that the LCM of 103,372,998,303,194 is 187315544148.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 103, 372, 998, 303, 194
1. What is the LCM of 103, 372, 998, 303, 194?
Answer: LCM of 103, 372, 998, 303, 194 is 187315544148.
2. How to calculate the LCM of 103, 372, 998, 303, 194?
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, 372, 998, 303, 194.
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}.