LCM of 184, 628, 908, 682, 360
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 184, 628, 908, 682, 360 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 184, 628, 908, 682, 360. So, keep reading to learn more.
Given numbers are 184,628,908,682,360
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 184,628,908,682,360 is 100626003720.
Find LCM of 184,628,908,682,360 with Prime Factorization
| 2 | 184, 628, 908, 682, 360 |
| 2 | 92, 314, 454, 341, 180 |
| 2 | 46, 157, 227, 341, 90 |
| 23, 157, 227, 341, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 23 x 157 x 227 x 341 x 45 = 100626003720
Therefore, the lowest common multiple of 184,628,908,682,360 is 100626003720.
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.
184 x 628 x 908 x 682 x 360 = 25760256952320
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.
184 : 1, 2, 4, 8, 23, 46, 92, 184
628 : 1, 2, 4, 157, 314, 628
908 : 1, 2, 4, 227, 454, 908
682 : 1, 2, 11, 22, 31, 62, 341, 682
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 184,628,908,682,360, is 2.
Now, the common factors can be found like this.
184:2x 2x 2x 23
628:2x 2x 157
908:2x 2x 227
682:2x 11x 31
360:2x 2x 2x 3x 3x 5
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 2 = 128
Therefore, the value for common factors is 128.
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 = 25760256952320/(2x128)
LCM = 25760256952320/256
LCM = 100626003720
Thus, we can understand that the LCM of 184,628,908,682,360 is 100626003720.
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FAQs on LCM of 184, 628, 908, 682, 360
1. What is the LCM of 184, 628, 908, 682, 360?
Answer: LCM of 184, 628, 908, 682, 360 is 100626003720.
2. How to calculate the LCM of 184, 628, 908, 682, 360?
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 184, 628, 908, 682, 360.
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}.