LCM of 109, 174, 993, 754, 916
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 109, 174, 993, 754, 916 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 109, 174, 993, 754, 916. So, keep reading to learn more.
Given numbers are 109,174,993,754,916
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 109,174,993,754,916 is 37377699684.
Find LCM of 109,174,993,754,916 with Prime Factorization
| 2 | 109, 174, 993, 754, 916 |
| 3 | 109, 87, 993, 377, 458 |
| 29 | 109, 29, 331, 377, 458 |
| 109, 1, 331, 13, 458 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 109 x 1 x 331 x 13 x 458 = 37377699684
Therefore, the lowest common multiple of 109,174,993,754,916 is 37377699684.
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.
109 x 174 x 993 x 754 x 916 = 13007439490032
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.
109 : 1, 109
174 : 1, 2, 3, 6, 29, 58, 87, 174
993 : 1, 3, 331, 993
754 : 1, 2, 13, 26, 29, 58, 377, 754
916 : 1, 2, 4, 229, 458, 916
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 109,174,993,754,916, is 1.
Now, the common factors can be found like this.
109:109
174:2x 3x 29
993:3x 331
754:2x 13x 29
916:2x 2x 229
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 29 = 348
Therefore, the value for common factors is 348.
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 = 13007439490032/(1x348)
LCM = 13007439490032/348
LCM = 37377699684
Thus, we can understand that the LCM of 109,174,993,754,916 is 37377699684.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 109, 174, 993, 754, 916
1. What is the LCM of 109, 174, 993, 754, 916?
Answer: LCM of 109, 174, 993, 754, 916 is 37377699684.
2. How to calculate the LCM of 109, 174, 993, 754, 916?
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 109, 174, 993, 754, 916.
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}.