LCM of 459, 574, 221, 700, 702
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 574, 221, 700, 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 459, 574, 221, 700, 702. So, keep reading to learn more.
Given numbers are 459,574,221,700,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,574,221,700,702 is 171252900.
Find LCM of 459,574,221,700,702 with Prime Factorization
| 2 | 459, 574, 221, 700, 702 |
| 3 | 459, 287, 221, 350, 351 |
| 3 | 153, 287, 221, 350, 117 |
| 3 | 51, 287, 221, 350, 39 |
| 7 | 17, 287, 221, 350, 13 |
| 13 | 17, 41, 221, 50, 13 |
| 17 | 17, 41, 17, 50, 1 |
| 1, 41, 1, 50, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 7 x 13 x 17 x 1 x 41 x 1 x 50 x 1 = 171252900
Therefore, the lowest common multiple of 459,574,221,700,702 is 171252900.
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.
459 x 574 x 221 x 700 x 702 = 28612249520400
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
574 : 1, 2, 7, 14, 41, 82, 287, 574
221 : 1, 13, 17, 221
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,574,221,700,702, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
574:2x 7x 41
221:13x 17
700:2x 2x 5x 5x 7
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.
2x 2x 3x 3x 3x 7x 13x 17 = 167076
Therefore, the value for common factors is 167076.
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 = 28612249520400/(1x167076)
LCM = 28612249520400/167076
LCM = 171252900
Thus, we can understand that the LCM of 459,574,221,700,702 is 171252900.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 459, 574, 221, 700, 702
1. What is the LCM of 459, 574, 221, 700, 702?
Answer: LCM of 459, 574, 221, 700, 702 is 171252900.
2. How to calculate the LCM of 459, 574, 221, 700, 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 459, 574, 221, 700, 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}.