LCM of 993, 193, 770, 993, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 993, 193, 770, 993, 138 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 993, 193, 770, 993, 138. So, keep reading to learn more.
Given numbers are 993,193,770,993,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 993,193,770,993,138 is 3394103790.
Find LCM of 993,193,770,993,138 with Prime Factorization
| 2 | 993, 193, 770, 993, 138 |
| 3 | 993, 193, 385, 993, 69 |
| 331 | 331, 193, 385, 331, 23 |
| 1, 193, 385, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 331 x 1 x 193 x 385 x 1 x 23 = 3394103790
Therefore, the lowest common multiple of 993,193,770,993,138 is 3394103790.
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.
993 x 193 x 770 x 993 x 138 = 20222070380820
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.
993 : 1, 3, 331, 993
193 : 1, 193
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
993 : 1, 3, 331, 993
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 993,193,770,993,138, is 1.
Now, the common factors can be found like this.
993:3x 331
193:193
770:2x 5x 7x 11
993:3x 331
138:2x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 331 = 5958
Therefore, the value for common factors is 5958.
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 = 20222070380820/(1x5958)
LCM = 20222070380820/5958
LCM = 3394103790
Thus, we can understand that the LCM of 993,193,770,993,138 is 3394103790.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 993, 193, 770, 993, 138
1. What is the LCM of 993, 193, 770, 993, 138?
Answer: LCM of 993, 193, 770, 993, 138 is 3394103790.
2. How to calculate the LCM of 993, 193, 770, 993, 138?
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 993, 193, 770, 993, 138.
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}.