LCM of 336, 324, 171, 648, 758
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 336, 324, 171, 648, 758 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, 324, 171, 648, 758. So, keep reading to learn more.
Given numbers are 336,324,171,648,758
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,324,171,648,758 is 65327472.
Find LCM of 336,324,171,648,758 with Prime Factorization
| 2 | 336, 324, 171, 648, 758 |
| 2 | 168, 162, 171, 324, 379 |
| 2 | 84, 81, 171, 162, 379 |
| 3 | 42, 81, 171, 81, 379 |
| 3 | 14, 27, 57, 27, 379 |
| 3 | 14, 9, 19, 9, 379 |
| 3 | 14, 3, 19, 3, 379 |
| 14, 1, 19, 1, 379 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 3 x 14 x 1 x 19 x 1 x 379 = 65327472
Therefore, the lowest common multiple of 336,324,171,648,758 is 65327472.
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 324 x 171 x 648 x 758 = 9143755600896
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
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
171 : 1, 3, 9, 19, 57, 171
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
758 : 1, 2, 379, 758
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,324,171,648,758, is 1.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
324:2x 2x 3x 3x 3x 3
171:3x 3x 19
648:2x 2x 2x 3x 3x 3x 3
758:2x 379
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 3x 3x 3x 3 = 139968
Therefore, the value for common factors is 139968.
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 = 9143755600896/(1x139968)
LCM = 9143755600896/139968
LCM = 65327472
Thus, we can understand that the LCM of 336,324,171,648,758 is 65327472.
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FAQs on LCM of 336, 324, 171, 648, 758
1. What is the LCM of 336, 324, 171, 648, 758?
Answer: LCM of 336, 324, 171, 648, 758 is 65327472.
2. How to calculate the LCM of 336, 324, 171, 648, 758?
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, 324, 171, 648, 758.
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}.