LCM of 525, 547, 234, 104, 605
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 525, 547, 234, 104, 605 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 525, 547, 234, 104, 605. So, keep reading to learn more.
Given numbers are 525,547,234,104,605
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 525,547,234,104,605 is 10841430600.
Find LCM of 525,547,234,104,605 with Prime Factorization
| 2 | 525, 547, 234, 104, 605 |
| 3 | 525, 547, 117, 52, 605 |
| 5 | 175, 547, 39, 52, 605 |
| 13 | 35, 547, 39, 52, 121 |
| 35, 547, 3, 4, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 35 x 547 x 3 x 4 x 121 = 10841430600
Therefore, the lowest common multiple of 525,547,234,104,605 is 10841430600.
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.
525 x 547 x 234 x 104 x 605 = 4228157934000
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.
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
547 : 1, 547
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
104 : 1, 2, 4, 8, 13, 26, 52, 104
605 : 1, 5, 11, 55, 121, 605
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 525,547,234,104,605, is 1.
Now, the common factors can be found like this.
525:3x 5x 5x 7
547:547
234:2x 3x 3x 13
104:2x 2x 2x 13
605:5x 11x 11
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 5x 13 = 390
Therefore, the value for common factors is 390.
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 = 4228157934000/(1x390)
LCM = 4228157934000/390
LCM = 10841430600
Thus, we can understand that the LCM of 525,547,234,104,605 is 10841430600.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 525, 547, 234, 104, 605
1. What is the LCM of 525, 547, 234, 104, 605?
Answer: LCM of 525, 547, 234, 104, 605 is 10841430600.
2. How to calculate the LCM of 525, 547, 234, 104, 605?
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 525, 547, 234, 104, 605.
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}.