LCM of 336, 367, 324, 962, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 336, 367, 324, 962, 391 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, 367, 324, 962, 391. So, keep reading to learn more.
Given numbers are 336,367,324,962,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,367,324,962,391 is 626168101104.
Find LCM of 336,367,324,962,391 with Prime Factorization
| 2 | 336, 367, 324, 962, 391 |
| 2 | 168, 367, 162, 481, 391 |
| 3 | 84, 367, 81, 481, 391 |
| 28, 367, 27, 481, 391 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 28 x 367 x 27 x 481 x 391 = 626168101104
Therefore, the lowest common multiple of 336,367,324,962,391 is 626168101104.
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 367 x 324 x 962 x 391 = 15028034426496
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
367 : 1, 367
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
962 : 1, 2, 13, 26, 37, 74, 481, 962
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,367,324,962,391, is 1.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
367:367
324:2x 2x 3x 3x 3x 3
962:2x 13x 37
391:17x 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 3 = 24
Therefore, the value for common factors is 24.
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 = 15028034426496/(1x24)
LCM = 15028034426496/24
LCM = 626168101104
Thus, we can understand that the LCM of 336,367,324,962,391 is 626168101104.
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FAQs on LCM of 336, 367, 324, 962, 391
1. What is the LCM of 336, 367, 324, 962, 391?
Answer: LCM of 336, 367, 324, 962, 391 is 626168101104.
2. How to calculate the LCM of 336, 367, 324, 962, 391?
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, 367, 324, 962, 391.
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}.