LCM of 359, 312, 160, 414, 559
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 359, 312, 160, 414, 559 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 359, 312, 160, 414, 559. So, keep reading to learn more.
Given numbers are 359,312,160,414,559
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,312,160,414,559 is 6646554720.
Find LCM of 359,312,160,414,559 with Prime Factorization
| 2 | 359, 312, 160, 414, 559 |
| 2 | 359, 156, 80, 207, 559 |
| 2 | 359, 78, 40, 207, 559 |
| 3 | 359, 39, 20, 207, 559 |
| 13 | 359, 13, 20, 69, 559 |
| 359, 1, 20, 69, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 359 x 1 x 20 x 69 x 43 = 6646554720
Therefore, the lowest common multiple of 359,312,160,414,559 is 6646554720.
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.
359 x 312 x 160 x 414 x 559 = 4147450145280
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.
359 : 1, 359
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
559 : 1, 13, 43, 559
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,312,160,414,559, is 1.
Now, the common factors can be found like this.
359:359
312:2x 2x 2x 3x 13
160:2x 2x 2x 2x 2x 5
414:2x 3x 3x 23
559:13x 43
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 13 = 624
Therefore, the value for common factors is 624.
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 = 4147450145280/(1x624)
LCM = 4147450145280/624
LCM = 6646554720
Thus, we can understand that the LCM of 359,312,160,414,559 is 6646554720.
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FAQs on LCM of 359, 312, 160, 414, 559
1. What is the LCM of 359, 312, 160, 414, 559?
Answer: LCM of 359, 312, 160, 414, 559 is 6646554720.
2. How to calculate the LCM of 359, 312, 160, 414, 559?
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 359, 312, 160, 414, 559.
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}.