LCM of 264, 209, 979, 202, 304
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 264, 209, 979, 202, 304 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 264, 209, 979, 202, 304. So, keep reading to learn more.
Given numbers are 264,209,979,202,304
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 264,209,979,202,304 is 90177648.
Find LCM of 264,209,979,202,304 with Prime Factorization
| 2 | 264, 209, 979, 202, 304 |
| 2 | 132, 209, 979, 101, 152 |
| 2 | 66, 209, 979, 101, 76 |
| 11 | 33, 209, 979, 101, 38 |
| 19 | 3, 19, 89, 101, 38 |
| 3, 1, 89, 101, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 19 x 3 x 1 x 89 x 101 x 2 = 90177648
Therefore, the lowest common multiple of 264,209,979,202,304 is 90177648.
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.
264 x 209 x 979 x 202 x 304 = 3317094604032
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.
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
209 : 1, 11, 19, 209
979 : 1, 11, 89, 979
202 : 1, 2, 101, 202
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 264,209,979,202,304, is 1.
Now, the common factors can be found like this.
264:2x 2x 2x 3x 11
209:11x 19
979:11x 89
202:2x 101
304:2x 2x 2x 2x 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 2x 2x 2x 11x 11x 19 = 36784
Therefore, the value for common factors is 36784.
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 = 3317094604032/(1x36784)
LCM = 3317094604032/36784
LCM = 90177648
Thus, we can understand that the LCM of 264,209,979,202,304 is 90177648.
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FAQs on LCM of 264, 209, 979, 202, 304
1. What is the LCM of 264, 209, 979, 202, 304?
Answer: LCM of 264, 209, 979, 202, 304 is 90177648.
2. How to calculate the LCM of 264, 209, 979, 202, 304?
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 264, 209, 979, 202, 304.
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}.