LCM of 637, 685, 828, 392, 575
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 637, 685, 828, 392, 575 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 637, 685, 828, 392, 575. So, keep reading to learn more.
Given numbers are 637,685,828,392,575
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 637,685,828,392,575 is 3612936600.
Find LCM of 637,685,828,392,575 with Prime Factorization
| 2 | 637, 685, 828, 392, 575 |
| 2 | 637, 685, 414, 196, 575 |
| 5 | 637, 685, 207, 98, 575 |
| 7 | 637, 137, 207, 98, 115 |
| 7 | 91, 137, 207, 14, 115 |
| 23 | 13, 137, 207, 2, 115 |
| 13, 137, 9, 2, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 7 x 23 x 13 x 137 x 9 x 2 x 5 = 3612936600
Therefore, the lowest common multiple of 637,685,828,392,575 is 3612936600.
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.
637 x 685 x 828 x 392 x 575 = 81435590964000
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.
637 : 1, 7, 13, 49, 91, 637
685 : 1, 5, 137, 685
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
575 : 1, 5, 23, 25, 115, 575
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 637,685,828,392,575, is 1.
Now, the common factors can be found like this.
637:7x 7x 13
685:5x 137
828:2x 2x 3x 3x 23
392:2x 2x 2x 7x 7
575:5x 5x 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 5x 7x 7x 23 = 22540
Therefore, the value for common factors is 22540.
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 = 81435590964000/(1x22540)
LCM = 81435590964000/22540
LCM = 3612936600
Thus, we can understand that the LCM of 637,685,828,392,575 is 3612936600.
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FAQs on LCM of 637, 685, 828, 392, 575
1. What is the LCM of 637, 685, 828, 392, 575?
Answer: LCM of 637, 685, 828, 392, 575 is 3612936600.
2. How to calculate the LCM of 637, 685, 828, 392, 575?
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 637, 685, 828, 392, 575.
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}.