LCM of 436, 252, 992, 420, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 436, 252, 992, 420, 828 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 436, 252, 992, 420, 828. So, keep reading to learn more.
Given numbers are 436,252,992,420,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 436,252,992,420,828 is 783387360.
Find LCM of 436,252,992,420,828 with Prime Factorization
| 2 | 436, 252, 992, 420, 828 |
| 2 | 218, 126, 496, 210, 414 |
| 3 | 109, 63, 248, 105, 207 |
| 3 | 109, 21, 248, 35, 69 |
| 7 | 109, 7, 248, 35, 23 |
| 109, 1, 248, 5, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 109 x 1 x 248 x 5 x 23 = 783387360
Therefore, the lowest common multiple of 436,252,992,420,828 is 783387360.
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.
436 x 252 x 992 x 420 x 828 = 37903414026240
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.
436 : 1, 2, 4, 109, 218, 436
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 436,252,992,420,828, is 4.
Now, the common factors can be found like this.
436:2x 2x 109
252:2x 2x 3x 3x 7
992:2x 2x 2x 2x 2x 31
420:2x 2x 3x 5x 7
828:2x 2x 3x 3x 23
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 3x 7 = 12096
Therefore, the value for common factors is 12096.
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 = 37903414026240/(4x12096)
LCM = 37903414026240/48384
LCM = 783387360
Thus, we can understand that the LCM of 436,252,992,420,828 is 783387360.
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FAQs on LCM of 436, 252, 992, 420, 828
1. What is the LCM of 436, 252, 992, 420, 828?
Answer: LCM of 436, 252, 992, 420, 828 is 783387360.
2. How to calculate the LCM of 436, 252, 992, 420, 828?
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 436, 252, 992, 420, 828.
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}.