LCM of 116, 336, 369, 648, 412
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 116, 336, 369, 648, 412 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 116, 336, 369, 648, 412. So, keep reading to learn more.
Given numbers are 116,336,369,648,412
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 116,336,369,648,412 is 1111020624.
Find LCM of 116,336,369,648,412 with Prime Factorization
| 2 | 116, 336, 369, 648, 412 |
| 2 | 58, 168, 369, 324, 206 |
| 2 | 29, 84, 369, 162, 103 |
| 3 | 29, 42, 369, 81, 103 |
| 3 | 29, 14, 123, 27, 103 |
| 29, 14, 41, 9, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 29 x 14 x 41 x 9 x 103 = 1111020624
Therefore, the lowest common multiple of 116,336,369,648,412 is 1111020624.
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.
116 x 336 x 369 x 648 x 412 = 3839687276544
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.
116 : 1, 2, 4, 29, 58, 116
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
369 : 1, 3, 9, 41, 123, 369
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
412 : 1, 2, 4, 103, 206, 412
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,336,369,648,412, is 1.
Now, the common factors can be found like this.
116:2x 2x 29
336:2x 2x 2x 2x 3x 7
369:3x 3x 41
648:2x 2x 2x 3x 3x 3x 3
412:2x 2x 103
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 3x 3x 3 = 3456
Therefore, the value for common factors is 3456.
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 = 3839687276544/(1x3456)
LCM = 3839687276544/3456
LCM = 1111020624
Thus, we can understand that the LCM of 116,336,369,648,412 is 1111020624.
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FAQs on LCM of 116, 336, 369, 648, 412
1. What is the LCM of 116, 336, 369, 648, 412?
Answer: LCM of 116, 336, 369, 648, 412 is 1111020624.
2. How to calculate the LCM of 116, 336, 369, 648, 412?
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 116, 336, 369, 648, 412.
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}.