LCM of 616, 474, 305, 155, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 616, 474, 305, 155, 682 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 616, 474, 305, 155, 682. So, keep reading to learn more.
Given numbers are 616,474,305,155,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 616,474,305,155,682 is 1380354360.
Find LCM of 616,474,305,155,682 with Prime Factorization
| 2 | 616, 474, 305, 155, 682 |
| 5 | 308, 237, 305, 155, 341 |
| 11 | 308, 237, 61, 31, 341 |
| 31 | 28, 237, 61, 31, 31 |
| 28, 237, 61, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 31 x 28 x 237 x 61 x 1 x 1 = 1380354360
Therefore, the lowest common multiple of 616,474,305,155,682 is 1380354360.
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.
616 x 474 x 305 x 155 x 682 = 9414016735200
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.
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
474 : 1, 2, 3, 6, 79, 158, 237, 474
305 : 1, 5, 61, 305
155 : 1, 5, 31, 155
682 : 1, 2, 11, 22, 31, 62, 341, 682
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 616,474,305,155,682, is 1.
Now, the common factors can be found like this.
616:2x 2x 2x 7x 11
474:2x 3x 79
305:5x 61
155:5x 31
682:2x 11x 31
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 5x 11x 31 = 6820
Therefore, the value for common factors is 6820.
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 = 9414016735200/(1x6820)
LCM = 9414016735200/6820
LCM = 1380354360
Thus, we can understand that the LCM of 616,474,305,155,682 is 1380354360.
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FAQs on LCM of 616, 474, 305, 155, 682
1. What is the LCM of 616, 474, 305, 155, 682?
Answer: LCM of 616, 474, 305, 155, 682 is 1380354360.
2. How to calculate the LCM of 616, 474, 305, 155, 682?
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 616, 474, 305, 155, 682.
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}.