LCM of 585, 221, 663, 702
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 585, 221, 663, 702 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 585, 221, 663, 702. So, keep reading to learn more.
Given numbers are 585,221,663,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,221,663,702 is 59670.
Find LCM of 585,221,663,702 with Prime Factorization
| 3 | 585, 221, 663, 702 |
| 3 | 195, 221, 221, 234 |
| 13 | 65, 221, 221, 78 |
| 17 | 5, 17, 17, 6 |
| 5, 1, 1, 6 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 17 x 5 x 1 x 1 x 6 = 59670
Therefore, the lowest common multiple of 585,221,663,702 is 59670.
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.
585 x 221 x 663 x 702 = 60172600410
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
221 : 1, 13, 17, 221
663 : 1, 3, 13, 17, 39, 51, 221, 663
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,221,663,702, is 13.
Now, the common factors can be found like this.
585:3x 3x 5x 13
221:13x 17
663:3x 13x 17
702:2x 3x 3x 3x 13
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 13x 13x 17 = 77571
Therefore, the value for common factors is 77571.
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 = 60172600410/(13x77571)
LCM = 60172600410/1008423
LCM = 59670
Thus, we can understand that the LCM of 585,221,663,702 is 59670.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 585, 221, 663, 702
1. What is the LCM of 585, 221, 663, 702?
Answer: LCM of 585, 221, 663, 702 is 59670.
2. How to calculate the LCM of 585, 221, 663, 702?
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 585, 221, 663, 702.
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}.