LCM of 336, 428, 578, 621, 346
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 336, 428, 578, 621, 346 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, 428, 578, 621, 346. So, keep reading to learn more.
Given numbers are 336,428,578,621,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,428,578,621,346 is 372080873808.
Find LCM of 336,428,578,621,346 with Prime Factorization
| 2 | 336, 428, 578, 621, 346 |
| 2 | 168, 214, 289, 621, 173 |
| 3 | 84, 107, 289, 621, 173 |
| 28, 107, 289, 207, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 28 x 107 x 289 x 207 x 173 = 372080873808
Therefore, the lowest common multiple of 336,428,578,621,346 is 372080873808.
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 428 x 578 x 621 x 346 = 17859881942784
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
428 : 1, 2, 4, 107, 214, 428
578 : 1, 2, 17, 34, 289, 578
621 : 1, 3, 9, 23, 27, 69, 207, 621
346 : 1, 2, 173, 346
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,428,578,621,346, is 1.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
428:2x 2x 107
578:2x 17x 17
621:3x 3x 3x 23
346:2x 173
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 3 = 48
Therefore, the value for common factors is 48.
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 = 17859881942784/(1x48)
LCM = 17859881942784/48
LCM = 372080873808
Thus, we can understand that the LCM of 336,428,578,621,346 is 372080873808.
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FAQs on LCM of 336, 428, 578, 621, 346
1. What is the LCM of 336, 428, 578, 621, 346?
Answer: LCM of 336, 428, 578, 621, 346 is 372080873808.
2. How to calculate the LCM of 336, 428, 578, 621, 346?
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, 428, 578, 621, 346.
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}.