LCM of 493, 405, 578, 889, 783
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 405, 578, 889, 783 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 493, 405, 578, 889, 783. So, keep reading to learn more.
Given numbers are 493,405,578,889,783
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,405,578,889,783 is 6035074290.
Find LCM of 493,405,578,889,783 with Prime Factorization
| 3 | 493, 405, 578, 889, 783 |
| 3 | 493, 135, 578, 889, 261 |
| 3 | 493, 45, 578, 889, 87 |
| 17 | 493, 15, 578, 889, 29 |
| 29 | 29, 15, 34, 889, 29 |
| 1, 15, 34, 889, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 17 x 29 x 1 x 15 x 34 x 889 x 1 = 6035074290
Therefore, the lowest common multiple of 493,405,578,889,783 is 6035074290.
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.
493 x 405 x 578 x 889 x 783 = 80332873874190
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.
493 : 1, 17, 29, 493
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
578 : 1, 2, 17, 34, 289, 578
889 : 1, 7, 127, 889
783 : 1, 3, 9, 27, 29, 87, 261, 783
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,405,578,889,783, is 1.
Now, the common factors can be found like this.
493:17x 29
405:3x 3x 3x 3x 5
578:2x 17x 17
889:7x 127
783:3x 3x 3x 29
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 29 = 13311
Therefore, the value for common factors is 13311.
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 = 80332873874190/(1x13311)
LCM = 80332873874190/13311
LCM = 6035074290
Thus, we can understand that the LCM of 493,405,578,889,783 is 6035074290.
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FAQs on LCM of 493, 405, 578, 889, 783
1. What is the LCM of 493, 405, 578, 889, 783?
Answer: LCM of 493, 405, 578, 889, 783 is 6035074290.
2. How to calculate the LCM of 493, 405, 578, 889, 783?
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 493, 405, 578, 889, 783.
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}.