LCM of 736, 323, 659, 168, 414
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 736, 323, 659, 168, 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 736, 323, 659, 168, 414. So, keep reading to learn more.
Given numbers are 736,323,659,168,414
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,323,659,168,414 is 9869753376.
Find LCM of 736,323,659,168,414 with Prime Factorization
| 2 | 736, 323, 659, 168, 414 |
| 2 | 368, 323, 659, 84, 207 |
| 2 | 184, 323, 659, 42, 207 |
| 3 | 92, 323, 659, 21, 207 |
| 23 | 92, 323, 659, 7, 69 |
| 4, 323, 659, 7, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 4 x 323 x 659 x 7 x 3 = 9869753376
Therefore, the lowest common multiple of 736,323,659,168,414 is 9869753376.
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.
736 x 323 x 659 x 168 x 414 = 10896207727104
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
323 : 1, 17, 19, 323
659 : 1, 659
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
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 736,323,659,168,414, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
323:17x 19
659:659
168:2x 2x 2x 3x 7
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 3x 23 = 1104
Therefore, the value for common factors is 1104.
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 = 10896207727104/(1x1104)
LCM = 10896207727104/1104
LCM = 9869753376
Thus, we can understand that the LCM of 736,323,659,168,414 is 9869753376.
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FAQs on LCM of 736, 323, 659, 168, 414
1. What is the LCM of 736, 323, 659, 168, 414?
Answer: LCM of 736, 323, 659, 168, 414 is 9869753376.
2. How to calculate the LCM of 736, 323, 659, 168, 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 736, 323, 659, 168, 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}.