LCM of 336, 822, 483, 448
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 336, 822, 483, 448 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 336, 822, 483, 448. So, keep reading to learn more.
Given numbers are 336,822,483,448
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,822,483,448 is 4234944.
Find LCM of 336,822,483,448 with Prime Factorization
| 2 | 336, 822, 483, 448 |
| 2 | 168, 411, 483, 224 |
| 2 | 84, 411, 483, 112 |
| 2 | 42, 411, 483, 56 |
| 3 | 21, 411, 483, 28 |
| 7 | 7, 137, 161, 28 |
| 1, 137, 23, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 1 x 137 x 23 x 4 = 4234944
Therefore, the lowest common multiple of 336,822,483,448 is 4234944.
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.
336 x 822 x 483 x 448 = 59763529728
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.
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
822 : 1, 2, 3, 6, 137, 274, 411, 822
483 : 1, 3, 7, 21, 23, 69, 161, 483
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,822,483,448, is 1.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
822:2x 3x 137
483:3x 7x 23
448:2x 2x 2x 2x 2x 2x 7
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 3x 3x 7x 7 = 14112
Therefore, the value for common factors is 14112.
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 = 59763529728/(1x14112)
LCM = 59763529728/14112
LCM = 4234944
Thus, we can understand that the LCM of 336,822,483,448 is 4234944.
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FAQs on LCM of 336, 822, 483, 448
1. What is the LCM of 336, 822, 483, 448?
Answer: LCM of 336, 822, 483, 448 is 4234944.
2. How to calculate the LCM of 336, 822, 483, 448?
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 336, 822, 483, 448.
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}.