LCM of 454, 817, 399, 868, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 454, 817, 399, 868, 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 454, 817, 399, 868, 969. So, keep reading to learn more.
Given numbers are 454,817,399,868,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 454,817,399,868,969 is 8209899012.
Find LCM of 454,817,399,868,969 with Prime Factorization
| 2 | 454, 817, 399, 868, 969 |
| 3 | 227, 817, 399, 434, 969 |
| 7 | 227, 817, 133, 434, 323 |
| 19 | 227, 817, 19, 62, 323 |
| 227, 43, 1, 62, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 19 x 227 x 43 x 1 x 62 x 17 = 8209899012
Therefore, the lowest common multiple of 454,817,399,868,969 is 8209899012.
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.
454 x 817 x 399 x 868 x 969 = 124478488819944
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.
454 : 1, 2, 227, 454
817 : 1, 19, 43, 817
399 : 1, 3, 7, 19, 21, 57, 133, 399
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
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 454,817,399,868,969, is 1.
Now, the common factors can be found like this.
454:2x 227
817:19x 43
399:3x 7x 19
868:2x 2x 7x 31
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 7x 19x 19 = 15162
Therefore, the value for common factors is 15162.
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 = 124478488819944/(1x15162)
LCM = 124478488819944/15162
LCM = 8209899012
Thus, we can understand that the LCM of 454,817,399,868,969 is 8209899012.
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FAQs on LCM of 454, 817, 399, 868, 969
1. What is the LCM of 454, 817, 399, 868, 969?
Answer: LCM of 454, 817, 399, 868, 969 is 8209899012.
2. How to calculate the LCM of 454, 817, 399, 868, 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 454, 817, 399, 868, 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}.