LCM of 699, 425, 823, 780, 255
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 699, 425, 823, 780, 255 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, 425, 823, 780, 255. So, keep reading to learn more.
Given numbers are 699,425,823,780,255
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 699,425,823,780,255 is 12713621700.
Find LCM of 699,425,823,780,255 with Prime Factorization
| 3 | 699, 425, 823, 780, 255 |
| 5 | 233, 425, 823, 260, 85 |
| 17 | 233, 17, 823, 52, 85 |
| 233, 1, 823, 52, 5 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 233 x 1 x 823 x 52 x 5 = 12713621700
Therefore, the lowest common multiple of 699,425,823,780,255 is 12713621700.
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 425 x 823 x 780 x 255 = 48629603002500
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
425 : 1, 5, 17, 25, 85, 425
823 : 1, 823
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
255 : 1, 3, 5, 15, 17, 51, 85, 255
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 699,425,823,780,255, is 1.
Now, the common factors can be found like this.
699:3x 233
425:5x 5x 17
823:823
780:2x 2x 3x 5x 13
255:3x 5x 17
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 5x 5x 17 = 3825
Therefore, the value for common factors is 3825.
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 = 48629603002500/(1x3825)
LCM = 48629603002500/3825
LCM = 12713621700
Thus, we can understand that the LCM of 699,425,823,780,255 is 12713621700.
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FAQs on LCM of 699, 425, 823, 780, 255
1. What is the LCM of 699, 425, 823, 780, 255?
Answer: LCM of 699, 425, 823, 780, 255 is 12713621700.
2. How to calculate the LCM of 699, 425, 823, 780, 255?
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, 425, 823, 780, 255.
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}.