LCM of 243, 969, 990, 209, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 243, 969, 990, 209, 869 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, 969, 990, 209, 869. So, keep reading to learn more.
Given numbers are 243,969,990,209,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 243,969,990,209,869 is 682069410.
Find LCM of 243,969,990,209,869 with Prime Factorization
| 3 | 243, 969, 990, 209, 869 |
| 3 | 81, 323, 330, 209, 869 |
| 11 | 27, 323, 110, 209, 869 |
| 19 | 27, 323, 10, 19, 79 |
| 27, 17, 10, 1, 79 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 11 x 19 x 27 x 17 x 10 x 1 x 79 = 682069410
Therefore, the lowest common multiple of 243,969,990,209,869 is 682069410.
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 969 x 990 x 209 x 869 = 42338094486930
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
969 : 1, 3, 17, 19, 51, 57, 323, 969
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
209 : 1, 11, 19, 209
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,969,990,209,869, is 1.
Now, the common factors can be found like this.
243:3x 3x 3x 3x 3
969:3x 17x 19
990:2x 3x 3x 5x 11
209:11x 19
869:11x 79
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 11x 11x 19 = 62073
Therefore, the value for common factors is 62073.
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 = 42338094486930/(1x62073)
LCM = 42338094486930/62073
LCM = 682069410
Thus, we can understand that the LCM of 243,969,990,209,869 is 682069410.
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FAQs on LCM of 243, 969, 990, 209, 869
1. What is the LCM of 243, 969, 990, 209, 869?
Answer: LCM of 243, 969, 990, 209, 869 is 682069410.
2. How to calculate the LCM of 243, 969, 990, 209, 869?
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, 969, 990, 209, 869.
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}.