LCM of 586, 726, 697, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 586, 726, 697, 321 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 586, 726, 697, 321. So, keep reading to learn more.
Given numbers are 586,726,697,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 586,726,697,321 is 15864295722.
Find LCM of 586,726,697,321 with Prime Factorization
| 2 | 586, 726, 697, 321 |
| 3 | 293, 363, 697, 321 |
| 293, 121, 697, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 293 x 121 x 697 x 107 = 15864295722
Therefore, the lowest common multiple of 586,726,697,321 is 15864295722.
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.
586 x 726 x 697 x 321 = 95185774332
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.
586 : 1, 2, 293, 586
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
697 : 1, 17, 41, 697
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,726,697,321, is 1.
Now, the common factors can be found like this.
586:2x 293
726:2x 3x 11x 11
697:17x 41
321:3x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 95185774332/(1x6)
LCM = 95185774332/6
LCM = 15864295722
Thus, we can understand that the LCM of 586,726,697,321 is 15864295722.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 586, 726, 697, 321
1. What is the LCM of 586, 726, 697, 321?
Answer: LCM of 586, 726, 697, 321 is 15864295722.
2. How to calculate the LCM of 586, 726, 697, 321?
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 586, 726, 697, 321.
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}.