LCM of 479, 493, 992, 648, 188
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 479, 493, 992, 648, 188 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 479, 493, 992, 648, 188. So, keep reading to learn more.
Given numbers are 479,493,992,648,188
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,493,992,648,188 is 891819535968.
Find LCM of 479,493,992,648,188 with Prime Factorization
| 2 | 479, 493, 992, 648, 188 |
| 2 | 479, 493, 496, 324, 94 |
| 2 | 479, 493, 248, 162, 47 |
| 479, 493, 124, 81, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 479 x 493 x 124 x 81 x 47 = 891819535968
Therefore, the lowest common multiple of 479,493,992,648,188 is 891819535968.
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.
479 x 493 x 992 x 648 x 188 = 28538225150976
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.
479 : 1, 479
493 : 1, 17, 29, 493
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
188 : 1, 2, 4, 47, 94, 188
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,493,992,648,188, is 1.
Now, the common factors can be found like this.
479:479
493:17x 29
992:2x 2x 2x 2x 2x 31
648:2x 2x 2x 3x 3x 3x 3
188:2x 2x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 28538225150976/(1x32)
LCM = 28538225150976/32
LCM = 891819535968
Thus, we can understand that the LCM of 479,493,992,648,188 is 891819535968.
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FAQs on LCM of 479, 493, 992, 648, 188
1. What is the LCM of 479, 493, 992, 648, 188?
Answer: LCM of 479, 493, 992, 648, 188 is 891819535968.
2. How to calculate the LCM of 479, 493, 992, 648, 188?
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 479, 493, 992, 648, 188.
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}.