LCM of 609, 668, 864, 234, 203
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 609, 668, 864, 234, 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 609, 668, 864, 234, 203. So, keep reading to learn more.
Given numbers are 609,668,864,234,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 609,668,864,234,203 is 380776032.
Find LCM of 609,668,864,234,203 with Prime Factorization
| 2 | 609, 668, 864, 234, 203 |
| 2 | 609, 334, 432, 117, 203 |
| 3 | 609, 167, 216, 117, 203 |
| 3 | 203, 167, 72, 39, 203 |
| 7 | 203, 167, 24, 13, 203 |
| 29 | 29, 167, 24, 13, 29 |
| 1, 167, 24, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 29 x 1 x 167 x 24 x 13 x 1 = 380776032
Therefore, the lowest common multiple of 609,668,864,234,203 is 380776032.
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.
609 x 668 x 864 x 234 x 203 = 16696267451136
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.
609 : 1, 3, 7, 21, 29, 87, 203, 609
668 : 1, 2, 4, 167, 334, 668
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 609,668,864,234,203, is 1.
Now, the common factors can be found like this.
609:3x 7x 29
668:2x 2x 167
864:2x 2x 2x 2x 2x 3x 3x 3
234:2x 3x 3x 13
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 2x 2x 3x 3x 3x 7x 29 = 43848
Therefore, the value for common factors is 43848.
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 = 16696267451136/(1x43848)
LCM = 16696267451136/43848
LCM = 380776032
Thus, we can understand that the LCM of 609,668,864,234,203 is 380776032.
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FAQs on LCM of 609, 668, 864, 234, 203
1. What is the LCM of 609, 668, 864, 234, 203?
Answer: LCM of 609, 668, 864, 234, 203 is 380776032.
2. How to calculate the LCM of 609, 668, 864, 234, 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 609, 668, 864, 234, 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}.