LCM of 228, 206, 507, 110, 492
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 228, 206, 507, 110, 492 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 228, 206, 507, 110, 492. So, keep reading to learn more.
Given numbers are 228,206,507,110,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 228,206,507,110,492 is 8949634980.
Find LCM of 228,206,507,110,492 with Prime Factorization
| 2 | 228, 206, 507, 110, 492 |
| 2 | 114, 103, 507, 55, 246 |
| 3 | 57, 103, 507, 55, 123 |
| 19, 103, 169, 55, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 19 x 103 x 169 x 55 x 41 = 8949634980
Therefore, the lowest common multiple of 228,206,507,110,492 is 8949634980.
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.
228 x 206 x 507 x 110 x 492 = 1288747437120
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.
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
206 : 1, 2, 103, 206
507 : 1, 3, 13, 39, 169, 507
110 : 1, 2, 5, 10, 11, 22, 55, 110
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 228,206,507,110,492, is 1.
Now, the common factors can be found like this.
228:2x 2x 3x 19
206:2x 103
507:3x 13x 13
110:2x 5x 11
492:2x 2x 3x 41
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 3 = 144
Therefore, the value for common factors is 144.
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 = 1288747437120/(1x144)
LCM = 1288747437120/144
LCM = 8949634980
Thus, we can understand that the LCM of 228,206,507,110,492 is 8949634980.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 228, 206, 507, 110, 492
1. What is the LCM of 228, 206, 507, 110, 492?
Answer: LCM of 228, 206, 507, 110, 492 is 8949634980.
2. How to calculate the LCM of 228, 206, 507, 110, 492?
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 228, 206, 507, 110, 492.
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}.