LCM of 699, 408, 586, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 408, 586, 221 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 699, 408, 586, 221. So, keep reading to learn more.
Given numbers are 699,408,586,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,408,586,221 is 362098776.
Find LCM of 699,408,586,221 with Prime Factorization
| 2 | 699, 408, 586, 221 |
| 3 | 699, 204, 293, 221 |
| 17 | 233, 68, 293, 221 |
| 233, 4, 293, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 233 x 4 x 293 x 13 = 362098776
Therefore, the lowest common multiple of 699,408,586,221 is 362098776.
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.
699 x 408 x 586 x 221 = 36934075152
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.
699 : 1, 3, 233, 699
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
586 : 1, 2, 293, 586
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,408,586,221, is 1.
Now, the common factors can be found like this.
699:3x 233
408:2x 2x 2x 3x 17
586:2x 293
221:13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17 = 102
Therefore, the value for common factors is 102.
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 = 36934075152/(1x102)
LCM = 36934075152/102
LCM = 362098776
Thus, we can understand that the LCM of 699,408,586,221 is 362098776.
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FAQs on LCM of 699, 408, 586, 221
1. What is the LCM of 699, 408, 586, 221?
Answer: LCM of 699, 408, 586, 221 is 362098776.
2. How to calculate the LCM of 699, 408, 586, 221?
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 699, 408, 586, 221.
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}.