LCM of 230, 667, 342, 203
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 667, 342, 203 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 230, 667, 342, 203. So, keep reading to learn more.
Given numbers are 230,667,342,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,667,342,203 is 7983990.
Find LCM of 230,667,342,203 with Prime Factorization
| 2 | 230, 667, 342, 203 |
| 23 | 115, 667, 171, 203 |
| 29 | 5, 29, 171, 203 |
| 5, 1, 171, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 23 x 29 x 5 x 1 x 171 x 7 = 7983990
Therefore, the lowest common multiple of 230,667,342,203 is 7983990.
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.
230 x 667 x 342 x 203 = 10650642660
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
667 : 1, 23, 29, 667
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,667,342,203, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
667:23x 29
342:2x 3x 3x 19
203:7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 23x 29 = 1334
Therefore, the value for common factors is 1334.
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 = 10650642660/(1x1334)
LCM = 10650642660/1334
LCM = 7983990
Thus, we can understand that the LCM of 230,667,342,203 is 7983990.
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FAQs on LCM of 230, 667, 342, 203
1. What is the LCM of 230, 667, 342, 203?
Answer: LCM of 230, 667, 342, 203 is 7983990.
2. How to calculate the LCM of 230, 667, 342, 203?
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 230, 667, 342, 203.
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}.