LCM of 243, 660, 990, 520, 895
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 243, 660, 990, 520, 895 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 243, 660, 990, 520, 895. So, keep reading to learn more.
Given numbers are 243,660,990,520,895
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 243,660,990,520,895 is 248802840.
Find LCM of 243,660,990,520,895 with Prime Factorization
| 2 | 243, 660, 990, 520, 895 |
| 2 | 243, 330, 495, 260, 895 |
| 3 | 243, 165, 495, 130, 895 |
| 3 | 81, 55, 165, 130, 895 |
| 5 | 27, 55, 55, 130, 895 |
| 11 | 27, 11, 11, 26, 179 |
| 27, 1, 1, 26, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 11 x 27 x 1 x 1 x 26 x 179 = 248802840
Therefore, the lowest common multiple of 243,660,990,520,895 is 248802840.
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.
243 x 660 x 990 x 520 x 895 = 73894443480000
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.
243 : 1, 3, 9, 27, 81, 243
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
895 : 1, 5, 179, 895
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,660,990,520,895, is 1.
Now, the common factors can be found like this.
243:3x 3x 3x 3x 3
660:2x 2x 3x 5x 11
990:2x 3x 3x 5x 11
520:2x 2x 2x 5x 13
895:5x 179
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 3x 3x 3x 5x 5x 5x 11 = 297000
Therefore, the value for common factors is 297000.
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 = 73894443480000/(1x297000)
LCM = 73894443480000/297000
LCM = 248802840
Thus, we can understand that the LCM of 243,660,990,520,895 is 248802840.
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FAQs on LCM of 243, 660, 990, 520, 895
1. What is the LCM of 243, 660, 990, 520, 895?
Answer: LCM of 243, 660, 990, 520, 895 is 248802840.
2. How to calculate the LCM of 243, 660, 990, 520, 895?
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 243, 660, 990, 520, 895.
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}.