LCM of 704, 221, 791, 176, 549
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 221, 791, 176, 549 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 704, 221, 791, 176, 549. So, keep reading to learn more.
Given numbers are 704,221,791,176,549
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,221,791,176,549 is 67563752256.
Find LCM of 704,221,791,176,549 with Prime Factorization
| 2 | 704, 221, 791, 176, 549 |
| 2 | 352, 221, 791, 88, 549 |
| 2 | 176, 221, 791, 44, 549 |
| 2 | 88, 221, 791, 22, 549 |
| 11 | 44, 221, 791, 11, 549 |
| 4, 221, 791, 1, 549 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 4 x 221 x 791 x 1 x 549 = 67563752256
Therefore, the lowest common multiple of 704,221,791,176,549 is 67563752256.
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.
704 x 221 x 791 x 176 x 549 = 11891220397056
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
221 : 1, 13, 17, 221
791 : 1, 7, 113, 791
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
549 : 1, 3, 9, 61, 183, 549
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,221,791,176,549, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
221:13x 17
791:7x 113
176:2x 2x 2x 2x 11
549:3x 3x 61
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 11 = 176
Therefore, the value for common factors is 176.
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 = 11891220397056/(1x176)
LCM = 11891220397056/176
LCM = 67563752256
Thus, we can understand that the LCM of 704,221,791,176,549 is 67563752256.
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FAQs on LCM of 704, 221, 791, 176, 549
1. What is the LCM of 704, 221, 791, 176, 549?
Answer: LCM of 704, 221, 791, 176, 549 is 67563752256.
2. How to calculate the LCM of 704, 221, 791, 176, 549?
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 704, 221, 791, 176, 549.
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}.