LCM of 408, 342, 969, 747, 909
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 408, 342, 969, 747, 909 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 408, 342, 969, 747, 909. So, keep reading to learn more.
Given numbers are 408,342,969,747,909
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 408,342,969,747,909 is 194955048.
Find LCM of 408,342,969,747,909 with Prime Factorization
| 2 | 408, 342, 969, 747, 909 |
| 3 | 204, 171, 969, 747, 909 |
| 3 | 68, 57, 323, 249, 303 |
| 17 | 68, 19, 323, 83, 101 |
| 19 | 4, 19, 19, 83, 101 |
| 4, 1, 1, 83, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 19 x 4 x 1 x 1 x 83 x 101 = 194955048
Therefore, the lowest common multiple of 408,342,969,747,909 is 194955048.
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.
408 x 342 x 969 x 747 x 909 = 91810960574832
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.
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
969 : 1, 3, 17, 19, 51, 57, 323, 969
747 : 1, 3, 9, 83, 249, 747
909 : 1, 3, 9, 101, 303, 909
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,342,969,747,909, is 3.
Now, the common factors can be found like this.
408:2x 2x 2x 3x 17
342:2x 3x 3x 19
969:3x 17x 19
747:3x 3x 83
909:3x 3x 101
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 3x 17x 19 = 156978
Therefore, the value for common factors is 156978.
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 = 91810960574832/(3x156978)
LCM = 91810960574832/470934
LCM = 194955048
Thus, we can understand that the LCM of 408,342,969,747,909 is 194955048.
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FAQs on LCM of 408, 342, 969, 747, 909
1. What is the LCM of 408, 342, 969, 747, 909?
Answer: LCM of 408, 342, 969, 747, 909 is 194955048.
2. How to calculate the LCM of 408, 342, 969, 747, 909?
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 408, 342, 969, 747, 909.
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}.