LCM of 689, 171, 234, 559, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 171, 234, 559, 380 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 689, 171, 234, 559, 380. So, keep reading to learn more.
Given numbers are 689,171,234,559,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,171,234,559,380 is 101324340.
Find LCM of 689,171,234,559,380 with Prime Factorization
| 2 | 689, 171, 234, 559, 380 |
| 3 | 689, 171, 117, 559, 190 |
| 3 | 689, 57, 39, 559, 190 |
| 13 | 689, 19, 13, 559, 190 |
| 19 | 53, 19, 1, 43, 190 |
| 53, 1, 1, 43, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 19 x 53 x 1 x 1 x 43 x 10 = 101324340
Therefore, the lowest common multiple of 689,171,234,559,380 is 101324340.
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.
689 x 171 x 234 x 559 x 380 = 5856344203320
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.
689 : 1, 13, 53, 689
171 : 1, 3, 9, 19, 57, 171
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
559 : 1, 13, 43, 559
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,171,234,559,380, is 1.
Now, the common factors can be found like this.
689:13x 53
171:3x 3x 19
234:2x 3x 3x 13
559:13x 43
380:2x 2x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13x 13x 19 = 57798
Therefore, the value for common factors is 57798.
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 = 5856344203320/(1x57798)
LCM = 5856344203320/57798
LCM = 101324340
Thus, we can understand that the LCM of 689,171,234,559,380 is 101324340.
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FAQs on LCM of 689, 171, 234, 559, 380
1. What is the LCM of 689, 171, 234, 559, 380?
Answer: LCM of 689, 171, 234, 559, 380 is 101324340.
2. How to calculate the LCM of 689, 171, 234, 559, 380?
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 689, 171, 234, 559, 380.
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}.