LCM of 405, 600, 680, 824, 874
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 600, 680, 824, 874 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 405, 600, 680, 824, 874. So, keep reading to learn more.
Given numbers are 405,600,680,824,874
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,600,680,824,874 is 12396029400.
Find LCM of 405,600,680,824,874 with Prime Factorization
| 2 | 405, 600, 680, 824, 874 |
| 2 | 405, 300, 340, 412, 437 |
| 2 | 405, 150, 170, 206, 437 |
| 3 | 405, 75, 85, 103, 437 |
| 5 | 135, 25, 85, 103, 437 |
| 27, 5, 17, 103, 437 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 27 x 5 x 17 x 103 x 437 = 12396029400
Therefore, the lowest common multiple of 405,600,680,824,874 is 12396029400.
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.
405 x 600 x 680 x 824 x 874 = 119001882240000
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
824 : 1, 2, 4, 8, 103, 206, 412, 824
874 : 1, 2, 19, 23, 38, 46, 437, 874
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,600,680,824,874, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
600:2x 2x 2x 3x 5x 5
680:2x 2x 2x 5x 17
824:2x 2x 2x 103
874:2x 19x 23
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 2x 2x 2x 3x 5x 5 = 9600
Therefore, the value for common factors is 9600.
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 = 119001882240000/(1x9600)
LCM = 119001882240000/9600
LCM = 12396029400
Thus, we can understand that the LCM of 405,600,680,824,874 is 12396029400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 405, 600, 680, 824, 874
1. What is the LCM of 405, 600, 680, 824, 874?
Answer: LCM of 405, 600, 680, 824, 874 is 12396029400.
2. How to calculate the LCM of 405, 600, 680, 824, 874?
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 405, 600, 680, 824, 874.
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}.