LCM of 551, 100, 180, 209, 258
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 551, 100, 180, 209, 258 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 551, 100, 180, 209, 258. So, keep reading to learn more.
Given numbers are 551,100,180,209,258
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 551,100,180,209,258 is 234560700.
Find LCM of 551,100,180,209,258 with Prime Factorization
| 2 | 551, 100, 180, 209, 258 |
| 2 | 551, 50, 90, 209, 129 |
| 3 | 551, 25, 45, 209, 129 |
| 5 | 551, 25, 15, 209, 43 |
| 19 | 551, 5, 3, 209, 43 |
| 29, 5, 3, 11, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 19 x 29 x 5 x 3 x 11 x 43 = 234560700
Therefore, the lowest common multiple of 551,100,180,209,258 is 234560700.
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.
551 x 100 x 180 x 209 x 258 = 534798396000
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.
551 : 1, 19, 29, 551
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
180 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180
209 : 1, 11, 19, 209
258 : 1, 2, 3, 6, 43, 86, 129, 258
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 551,100,180,209,258, is 1.
Now, the common factors can be found like this.
551:19x 29
100:2x 2x 5x 5
180:2x 2x 3x 3x 5
209:11x 19
258:2x 3x 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 3x 5x 19 = 2280
Therefore, the value for common factors is 2280.
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 = 534798396000/(1x2280)
LCM = 534798396000/2280
LCM = 234560700
Thus, we can understand that the LCM of 551,100,180,209,258 is 234560700.
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FAQs on LCM of 551, 100, 180, 209, 258
1. What is the LCM of 551, 100, 180, 209, 258?
Answer: LCM of 551, 100, 180, 209, 258 is 234560700.
2. How to calculate the LCM of 551, 100, 180, 209, 258?
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 551, 100, 180, 209, 258.
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}.