LCM of 223, 736, 992, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 223, 736, 992, 414 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 223, 736, 992, 414. So, keep reading to learn more.
Given numbers are 223,736,992,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 223,736,992,414 is 45791712.
Find LCM of 223,736,992,414 with Prime Factorization
| 2 | 223, 736, 992, 414 |
| 2 | 223, 368, 496, 207 |
| 2 | 223, 184, 248, 207 |
| 2 | 223, 92, 124, 207 |
| 2 | 223, 46, 62, 207 |
| 23 | 223, 23, 31, 207 |
| 223, 1, 31, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 23 x 223 x 1 x 31 x 9 = 45791712
Therefore, the lowest common multiple of 223,736,992,414 is 45791712.
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.
223 x 736 x 992 x 414 = 67405400064
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.
223 : 1, 223
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,736,992,414, is 1.
Now, the common factors can be found like this.
223:223
736:2x 2x 2x 2x 2x 23
992:2x 2x 2x 2x 2x 31
414:2x 3x 3x 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 2x 2x 2x 23 = 1472
Therefore, the value for common factors is 1472.
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 = 67405400064/(1x1472)
LCM = 67405400064/1472
LCM = 45791712
Thus, we can understand that the LCM of 223,736,992,414 is 45791712.
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FAQs on LCM of 223, 736, 992, 414
1. What is the LCM of 223, 736, 992, 414?
Answer: LCM of 223, 736, 992, 414 is 45791712.
2. How to calculate the LCM of 223, 736, 992, 414?
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 223, 736, 992, 414.
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}.