LCM of 165, 148, 736, 412, 523
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 165, 148, 736, 412, 523 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 165, 148, 736, 412, 523. So, keep reading to learn more.
Given numbers are 165,148,736,412,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 165,148,736,412,523 is 242048500320.
Find LCM of 165,148,736,412,523 with Prime Factorization
| 2 | 165, 148, 736, 412, 523 |
| 2 | 165, 74, 368, 206, 523 |
| 165, 37, 184, 103, 523 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 165 x 37 x 184 x 103 x 523 = 242048500320
Therefore, the lowest common multiple of 165,148,736,412,523 is 242048500320.
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.
165 x 148 x 736 x 412 x 523 = 3872776005120
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.
165 : 1, 3, 5, 11, 15, 33, 55, 165
148 : 1, 2, 4, 37, 74, 148
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
412 : 1, 2, 4, 103, 206, 412
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 165,148,736,412,523, is 1.
Now, the common factors can be found like this.
165:3x 5x 11
148:2x 2x 37
736:2x 2x 2x 2x 2x 23
412:2x 2x 103
523:523
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 2 = 16
Therefore, the value for common factors is 16.
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 = 3872776005120/(1x16)
LCM = 3872776005120/16
LCM = 242048500320
Thus, we can understand that the LCM of 165,148,736,412,523 is 242048500320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 165, 148, 736, 412, 523
1. What is the LCM of 165, 148, 736, 412, 523?
Answer: LCM of 165, 148, 736, 412, 523 is 242048500320.
2. How to calculate the LCM of 165, 148, 736, 412, 523?
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 165, 148, 736, 412, 523.
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}.