LCM of 538, 720, 513, 354, 992
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 720, 513, 354, 992 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 538, 720, 513, 354, 992. So, keep reading to learn more.
Given numbers are 538,720,513,354,992
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,720,513,354,992 is 40383442080.
Find LCM of 538,720,513,354,992 with Prime Factorization
| 2 | 538, 720, 513, 354, 992 |
| 2 | 269, 360, 513, 177, 496 |
| 2 | 269, 180, 513, 177, 248 |
| 2 | 269, 90, 513, 177, 124 |
| 3 | 269, 45, 513, 177, 62 |
| 3 | 269, 15, 171, 59, 62 |
| 269, 5, 57, 59, 62 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 269 x 5 x 57 x 59 x 62 = 40383442080
Therefore, the lowest common multiple of 538,720,513,354,992 is 40383442080.
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.
538 x 720 x 513 x 354 x 992 = 69782587914240
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.
538 : 1, 2, 269, 538
720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
513 : 1, 3, 9, 19, 27, 57, 171, 513
354 : 1, 2, 3, 6, 59, 118, 177, 354
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,720,513,354,992, is 1.
Now, the common factors can be found like this.
538:2x 269
720:2x 2x 2x 2x 3x 3x 5
513:3x 3x 3x 19
354:2x 3x 59
992:2x 2x 2x 2x 2x 31
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 2x 2x 3x 3x 3 = 1728
Therefore, the value for common factors is 1728.
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 = 69782587914240/(1x1728)
LCM = 69782587914240/1728
LCM = 40383442080
Thus, we can understand that the LCM of 538,720,513,354,992 is 40383442080.
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FAQs on LCM of 538, 720, 513, 354, 992
1. What is the LCM of 538, 720, 513, 354, 992?
Answer: LCM of 538, 720, 513, 354, 992 is 40383442080.
2. How to calculate the LCM of 538, 720, 513, 354, 992?
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 538, 720, 513, 354, 992.
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}.