LCM of 689, 420, 525, 184
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 689, 420, 525, 184 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, 420, 525, 184. So, keep reading to learn more.
Given numbers are 689,420,525,184
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 689,420,525,184 is 66557400.
Find LCM of 689,420,525,184 with Prime Factorization
| 2 | 689, 420, 525, 184 |
| 2 | 689, 210, 525, 92 |
| 3 | 689, 105, 525, 46 |
| 5 | 689, 35, 175, 46 |
| 7 | 689, 7, 35, 46 |
| 689, 1, 5, 46 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 7 x 689 x 1 x 5 x 46 = 66557400
Therefore, the lowest common multiple of 689,420,525,184 is 66557400.
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 420 x 525 x 184 = 27954108000
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
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
184 : 1, 2, 4, 8, 23, 46, 92, 184
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 689,420,525,184, is 1.
Now, the common factors can be found like this.
689:13x 53
420:2x 2x 3x 5x 7
525:3x 5x 5x 7
184:2x 2x 2x 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 7 = 420
Therefore, the value for common factors is 420.
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 = 27954108000/(1x420)
LCM = 27954108000/420
LCM = 66557400
Thus, we can understand that the LCM of 689,420,525,184 is 66557400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 689, 420, 525, 184
1. What is the LCM of 689, 420, 525, 184?
Answer: LCM of 689, 420, 525, 184 is 66557400.
2. How to calculate the LCM of 689, 420, 525, 184?
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, 420, 525, 184.
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}.