LCM of 555, 741, 491, 969, 408
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 555, 741, 491, 969, 408 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 555, 741, 491, 969, 408. So, keep reading to learn more.
Given numbers are 555,741,491,969,408
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 555,741,491,969,408 is 9153987960.
Find LCM of 555,741,491,969,408 with Prime Factorization
| 3 | 555, 741, 491, 969, 408 |
| 17 | 185, 247, 491, 323, 136 |
| 19 | 185, 247, 491, 19, 8 |
| 185, 13, 491, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 19 x 185 x 13 x 491 x 1 x 8 = 9153987960
Therefore, the lowest common multiple of 555,741,491,969,408 is 9153987960.
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.
555 x 741 x 491 x 969 x 408 = 79831928999160
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.
555 : 1, 3, 5, 15, 37, 111, 185, 555
741 : 1, 3, 13, 19, 39, 57, 247, 741
491 : 1, 491
969 : 1, 3, 17, 19, 51, 57, 323, 969
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 555,741,491,969,408, is 1.
Now, the common factors can be found like this.
555:3x 5x 37
741:3x 13x 19
491:491
969:3x 17x 19
408:2x 2x 2x 3x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 17x 19 = 8721
Therefore, the value for common factors is 8721.
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 = 79831928999160/(1x8721)
LCM = 79831928999160/8721
LCM = 9153987960
Thus, we can understand that the LCM of 555,741,491,969,408 is 9153987960.
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FAQs on LCM of 555, 741, 491, 969, 408
1. What is the LCM of 555, 741, 491, 969, 408?
Answer: LCM of 555, 741, 491, 969, 408 is 9153987960.
2. How to calculate the LCM of 555, 741, 491, 969, 408?
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 555, 741, 491, 969, 408.
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}.