LCM of 495, 177, 529, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 495, 177, 529, 414 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 495, 177, 529, 414. So, keep reading to learn more.
Given numbers are 495,177,529,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 495,177,529,414 is 30898890.
Find LCM of 495,177,529,414 with Prime Factorization
| 3 | 495, 177, 529, 414 |
| 3 | 165, 59, 529, 138 |
| 23 | 55, 59, 529, 46 |
| 55, 59, 23, 2 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 23 x 55 x 59 x 23 x 2 = 30898890
Therefore, the lowest common multiple of 495,177,529,414 is 30898890.
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.
495 x 177 x 529 x 414 = 19188210690
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.
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
177 : 1, 3, 59, 177
529 : 1, 23, 529
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,177,529,414, is 1.
Now, the common factors can be found like this.
495:3x 3x 5x 11
177:3x 59
529:23x 23
414:2x 3x 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.
3x 3x 3x 23 = 621
Therefore, the value for common factors is 621.
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 = 19188210690/(1x621)
LCM = 19188210690/621
LCM = 30898890
Thus, we can understand that the LCM of 495,177,529,414 is 30898890.
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FAQs on LCM of 495, 177, 529, 414
1. What is the LCM of 495, 177, 529, 414?
Answer: LCM of 495, 177, 529, 414 is 30898890.
2. How to calculate the LCM of 495, 177, 529, 414?
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 495, 177, 529, 414.
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}.