LCM of 804, 209, 315, 594, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 804, 209, 315, 594, 969 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 804, 209, 315, 594, 969. So, keep reading to learn more.
Given numbers are 804,209,315,594,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 804,209,315,594,969 is 899832780.
Find LCM of 804,209,315,594,969 with Prime Factorization
| 2 | 804, 209, 315, 594, 969 |
| 3 | 402, 209, 315, 297, 969 |
| 3 | 134, 209, 105, 99, 323 |
| 11 | 134, 209, 35, 33, 323 |
| 19 | 134, 19, 35, 3, 323 |
| 134, 1, 35, 3, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 11 x 19 x 134 x 1 x 35 x 3 x 17 = 899832780
Therefore, the lowest common multiple of 804,209,315,594,969 is 899832780.
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.
804 x 209 x 315 x 594 x 969 = 30466538265240
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.
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
209 : 1, 11, 19, 209
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 804,209,315,594,969, is 1.
Now, the common factors can be found like this.
804:2x 2x 3x 67
209:11x 19
315:3x 3x 5x 7
594:2x 3x 3x 3x 11
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 11x 19 = 33858
Therefore, the value for common factors is 33858.
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 = 30466538265240/(1x33858)
LCM = 30466538265240/33858
LCM = 899832780
Thus, we can understand that the LCM of 804,209,315,594,969 is 899832780.
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FAQs on LCM of 804, 209, 315, 594, 969
1. What is the LCM of 804, 209, 315, 594, 969?
Answer: LCM of 804, 209, 315, 594, 969 is 899832780.
2. How to calculate the LCM of 804, 209, 315, 594, 969?
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 804, 209, 315, 594, 969.
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}.