LCM of 222, 506, 345, 230
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 222, 506, 345, 230 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 222, 506, 345, 230. So, keep reading to learn more.
Given numbers are 222,506,345,230
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 222,506,345,230 is 280830.
Find LCM of 222,506,345,230 with Prime Factorization
| 2 | 222, 506, 345, 230 |
| 3 | 111, 253, 345, 115 |
| 5 | 37, 253, 115, 115 |
| 23 | 37, 253, 23, 23 |
| 37, 11, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 37 x 11 x 1 x 1 = 280830
Therefore, the lowest common multiple of 222,506,345,230 is 280830.
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.
222 x 506 x 345 x 230 = 8913544200
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.
222 : 1, 2, 3, 6, 37, 74, 111, 222
506 : 1, 2, 11, 22, 23, 46, 253, 506
345 : 1, 3, 5, 15, 23, 69, 115, 345
230 : 1, 2, 5, 10, 23, 46, 115, 230
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 222,506,345,230, is 1.
Now, the common factors can be found like this.
222:2x 3x 37
506:2x 11x 23
345:3x 5x 23
230:2x 5x 23
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 5x 23x 23 = 31740
Therefore, the value for common factors is 31740.
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 = 8913544200/(1x31740)
LCM = 8913544200/31740
LCM = 280830
Thus, we can understand that the LCM of 222,506,345,230 is 280830.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 222, 506, 345, 230
1. What is the LCM of 222, 506, 345, 230?
Answer: LCM of 222, 506, 345, 230 is 280830.
2. How to calculate the LCM of 222, 506, 345, 230?
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 222, 506, 345, 230.
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}.