LCM of 179, 385, 272, 880, 649
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 179, 385, 272, 880, 649 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, 385, 272, 880, 649. So, keep reading to learn more.
Given numbers are 179,385,272,880,649
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 179,385,272,880,649 is 1105947920.
Find LCM of 179,385,272,880,649 with Prime Factorization
| 2 | 179, 385, 272, 880, 649 |
| 2 | 179, 385, 136, 440, 649 |
| 2 | 179, 385, 68, 220, 649 |
| 2 | 179, 385, 34, 110, 649 |
| 5 | 179, 385, 17, 55, 649 |
| 11 | 179, 77, 17, 11, 649 |
| 179, 7, 17, 1, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 11 x 179 x 7 x 17 x 1 x 59 = 1105947920
Therefore, the lowest common multiple of 179,385,272,880,649 is 1105947920.
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 385 x 272 x 880 x 649 = 10705575865600
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
385 : 1, 5, 7, 11, 35, 55, 77, 385
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
649 : 1, 11, 59, 649
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 179,385,272,880,649, is 1.
Now, the common factors can be found like this.
179:179
385:5x 7x 11
272:2x 2x 2x 2x 17
880:2x 2x 2x 2x 5x 11
649:11x 59
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 2x 5x 11x 11 = 9680
Therefore, the value for common factors is 9680.
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 = 10705575865600/(1x9680)
LCM = 10705575865600/9680
LCM = 1105947920
Thus, we can understand that the LCM of 179,385,272,880,649 is 1105947920.
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FAQs on LCM of 179, 385, 272, 880, 649
1. What is the LCM of 179, 385, 272, 880, 649?
Answer: LCM of 179, 385, 272, 880, 649 is 1105947920.
2. How to calculate the LCM of 179, 385, 272, 880, 649?
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, 385, 272, 880, 649.
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}.