LCM of 336, 121, 384, 464
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 336, 121, 384, 464 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, 121, 384, 464. So, keep reading to learn more.
Given numbers are 336,121,384,464
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,121,384,464 is 9432192.
Find LCM of 336,121,384,464 with Prime Factorization
| 2 | 336, 121, 384, 464 |
| 2 | 168, 121, 192, 232 |
| 2 | 84, 121, 96, 116 |
| 2 | 42, 121, 48, 58 |
| 3 | 21, 121, 24, 29 |
| 7, 121, 8, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 121 x 8 x 29 = 9432192
Therefore, the lowest common multiple of 336,121,384,464 is 9432192.
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 121 x 384 x 464 = 7243923456
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
121 : 1, 11, 121
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,121,384,464, is 1.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
121:11x 11
384:2x 2x 2x 2x 2x 2x 2x 3
464:2x 2x 2x 2x 29
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 2x 2x 3 = 768
Therefore, the value for common factors is 768.
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 = 7243923456/(1x768)
LCM = 7243923456/768
LCM = 9432192
Thus, we can understand that the LCM of 336,121,384,464 is 9432192.
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FAQs on LCM of 336, 121, 384, 464
1. What is the LCM of 336, 121, 384, 464?
Answer: LCM of 336, 121, 384, 464 is 9432192.
2. How to calculate the LCM of 336, 121, 384, 464?
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, 121, 384, 464.
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}.