LCM of 323, 589, 708, 409, 198
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 323, 589, 708, 409, 198 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 323, 589, 708, 409, 198. So, keep reading to learn more.
Given numbers are 323,589,708,409,198
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 323,589,708,409,198 is 95682986388.
Find LCM of 323,589,708,409,198 with Prime Factorization
| 2 | 323, 589, 708, 409, 198 |
| 3 | 323, 589, 354, 409, 99 |
| 19 | 323, 589, 118, 409, 33 |
| 17, 31, 118, 409, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 17 x 31 x 118 x 409 x 33 = 95682986388
Therefore, the lowest common multiple of 323,589,708,409,198 is 95682986388.
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.
323 x 589 x 708 x 409 x 198 = 10907860448232
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.
323 : 1, 17, 19, 323
589 : 1, 19, 31, 589
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
409 : 1, 409
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 323,589,708,409,198, is 1.
Now, the common factors can be found like this.
323:17x 19
589:19x 31
708:2x 2x 3x 59
409:409
198:2x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 19 = 114
Therefore, the value for common factors is 114.
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 = 10907860448232/(1x114)
LCM = 10907860448232/114
LCM = 95682986388
Thus, we can understand that the LCM of 323,589,708,409,198 is 95682986388.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 323, 589, 708, 409, 198
1. What is the LCM of 323, 589, 708, 409, 198?
Answer: LCM of 323, 589, 708, 409, 198 is 95682986388.
2. How to calculate the LCM of 323, 589, 708, 409, 198?
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 323, 589, 708, 409, 198.
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}.