LCM of 242, 150, 506, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 242, 150, 506, 231 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 242, 150, 506, 231. So, keep reading to learn more.
Given numbers are 242,150,506,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 242,150,506,231 is 2922150.
Find LCM of 242,150,506,231 with Prime Factorization
| 2 | 242, 150, 506, 231 |
| 3 | 121, 75, 253, 231 |
| 11 | 121, 25, 253, 77 |
| 11, 25, 23, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 11 x 25 x 23 x 7 = 2922150
Therefore, the lowest common multiple of 242,150,506,231 is 2922150.
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.
242 x 150 x 506 x 231 = 4242961800
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.
242 : 1, 2, 11, 22, 121, 242
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
506 : 1, 2, 11, 22, 23, 46, 253, 506
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,150,506,231, is 1.
Now, the common factors can be found like this.
242:2x 11x 11
150:2x 3x 5x 5
506:2x 11x 23
231:3x 7x 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 2x 3x 11x 11 = 1452
Therefore, the value for common factors is 1452.
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 = 4242961800/(1x1452)
LCM = 4242961800/1452
LCM = 2922150
Thus, we can understand that the LCM of 242,150,506,231 is 2922150.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 242, 150, 506, 231
1. What is the LCM of 242, 150, 506, 231?
Answer: LCM of 242, 150, 506, 231 is 2922150.
2. How to calculate the LCM of 242, 150, 506, 231?
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 242, 150, 506, 231.
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}.