LCM of 447, 726, 425, 418, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 447, 726, 425, 418, 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 447, 726, 425, 418, 969. So, keep reading to learn more.
Given numbers are 447,726,425,418,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 447,726,425,418,969 is 873505050.
Find LCM of 447,726,425,418,969 with Prime Factorization
| 2 | 447, 726, 425, 418, 969 |
| 3 | 447, 363, 425, 209, 969 |
| 11 | 149, 121, 425, 209, 323 |
| 17 | 149, 11, 425, 19, 323 |
| 19 | 149, 11, 25, 19, 19 |
| 149, 11, 25, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 17 x 19 x 149 x 11 x 25 x 1 x 1 = 873505050
Therefore, the lowest common multiple of 447,726,425,418,969 is 873505050.
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.
447 x 726 x 425 x 418 x 969 = 55864141967700
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.
447 : 1, 3, 149, 447
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
425 : 1, 5, 17, 25, 85, 425
418 : 1, 2, 11, 19, 22, 38, 209, 418
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 447,726,425,418,969, is 1.
Now, the common factors can be found like this.
447:3x 149
726:2x 3x 11x 11
425:5x 5x 17
418:2x 11x 19
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 11x 17x 19 = 63954
Therefore, the value for common factors is 63954.
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 = 55864141967700/(1x63954)
LCM = 55864141967700/63954
LCM = 873505050
Thus, we can understand that the LCM of 447,726,425,418,969 is 873505050.
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FAQs on LCM of 447, 726, 425, 418, 969
1. What is the LCM of 447, 726, 425, 418, 969?
Answer: LCM of 447, 726, 425, 418, 969 is 873505050.
2. How to calculate the LCM of 447, 726, 425, 418, 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 447, 726, 425, 418, 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}.