LCM of 179, 988, 165, 693, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 179, 988, 165, 693, 513 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 179, 988, 165, 693, 513. So, keep reading to learn more.
Given numbers are 179,988,165,693,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 179,988,165,693,513 is 1838376540.
Find LCM of 179,988,165,693,513 with Prime Factorization
| 3 | 179, 988, 165, 693, 513 |
| 3 | 179, 988, 55, 231, 171 |
| 11 | 179, 988, 55, 77, 57 |
| 19 | 179, 988, 5, 7, 57 |
| 179, 52, 5, 7, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 19 x 179 x 52 x 5 x 7 x 3 = 1838376540
Therefore, the lowest common multiple of 179,988,165,693,513 is 1838376540.
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.
179 x 988 x 165 x 693 x 513 = 10373958815220
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.
179 : 1, 179
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
165 : 1, 3, 5, 11, 15, 33, 55, 165
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 179,988,165,693,513, is 1.
Now, the common factors can be found like this.
179:179
988:2x 2x 13x 19
165:3x 5x 11
693:3x 3x 7x 11
513:3x 3x 3x 19
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 11x 19 = 5643
Therefore, the value for common factors is 5643.
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 = 10373958815220/(1x5643)
LCM = 10373958815220/5643
LCM = 1838376540
Thus, we can understand that the LCM of 179,988,165,693,513 is 1838376540.
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FAQs on LCM of 179, 988, 165, 693, 513
1. What is the LCM of 179, 988, 165, 693, 513?
Answer: LCM of 179, 988, 165, 693, 513 is 1838376540.
2. How to calculate the LCM of 179, 988, 165, 693, 513?
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 179, 988, 165, 693, 513.
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}.