LCM of 234, 209, 689, 102, 204
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 209, 689, 102, 204 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 234, 209, 689, 102, 204. So, keep reading to learn more.
Given numbers are 234,209,689,102,204
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,209,689,102,204 is 88128612.
Find LCM of 234,209,689,102,204 with Prime Factorization
| 2 | 234, 209, 689, 102, 204 |
| 3 | 117, 209, 689, 51, 102 |
| 13 | 39, 209, 689, 17, 34 |
| 17 | 3, 209, 53, 17, 34 |
| 3, 209, 53, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 3 x 209 x 53 x 1 x 2 = 88128612
Therefore, the lowest common multiple of 234,209,689,102,204 is 88128612.
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.
234 x 209 x 689 x 102 x 204 = 701151237072
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
209 : 1, 11, 19, 209
689 : 1, 13, 53, 689
102 : 1, 2, 3, 6, 17, 34, 51, 102
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,209,689,102,204, is 1.
Now, the common factors can be found like this.
234:2x 3x 3x 13
209:11x 19
689:13x 53
102:2x 3x 17
204:2x 2x 3x 17
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 3x 13x 17 = 7956
Therefore, the value for common factors is 7956.
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 = 701151237072/(1x7956)
LCM = 701151237072/7956
LCM = 88128612
Thus, we can understand that the LCM of 234,209,689,102,204 is 88128612.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 234, 209, 689, 102, 204
1. What is the LCM of 234, 209, 689, 102, 204?
Answer: LCM of 234, 209, 689, 102, 204 is 88128612.
2. How to calculate the LCM of 234, 209, 689, 102, 204?
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 234, 209, 689, 102, 204.
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}.