LCM of 349, 945, 463, 825, 515
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 349, 945, 463, 825, 515 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 349, 945, 463, 825, 515. So, keep reading to learn more.
Given numbers are 349,945,463,825,515
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 349,945,463,825,515 is 865043885475.
Find LCM of 349,945,463,825,515 with Prime Factorization
| 3 | 349, 945, 463, 825, 515 |
| 5 | 349, 315, 463, 275, 515 |
| 349, 63, 463, 55, 103 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 349 x 63 x 463 x 55 x 103 = 865043885475
Therefore, the lowest common multiple of 349,945,463,825,515 is 865043885475.
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.
349 x 945 x 463 x 825 x 515 = 64878291410625
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.
349 : 1, 349
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
463 : 1, 463
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
515 : 1, 5, 103, 515
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,945,463,825,515, is 1.
Now, the common factors can be found like this.
349:349
945:3x 3x 3x 5x 7
463:463
825:3x 5x 5x 11
515:5x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5 = 75
Therefore, the value for common factors is 75.
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 = 64878291410625/(1x75)
LCM = 64878291410625/75
LCM = 865043885475
Thus, we can understand that the LCM of 349,945,463,825,515 is 865043885475.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 349, 945, 463, 825, 515
1. What is the LCM of 349, 945, 463, 825, 515?
Answer: LCM of 349, 945, 463, 825, 515 is 865043885475.
2. How to calculate the LCM of 349, 945, 463, 825, 515?
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 349, 945, 463, 825, 515.
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}.