LCM of 392, 552, 693, 467, 539
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 392, 552, 693, 467, 539 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 392, 552, 693, 467, 539. So, keep reading to learn more.
Given numbers are 392,552,693,467,539
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 392,552,693,467,539 is 416836728.
Find LCM of 392,552,693,467,539 with Prime Factorization
| 2 | 392, 552, 693, 467, 539 |
| 2 | 196, 276, 693, 467, 539 |
| 2 | 98, 138, 693, 467, 539 |
| 3 | 49, 69, 693, 467, 539 |
| 7 | 49, 23, 231, 467, 539 |
| 7 | 7, 23, 33, 467, 77 |
| 11 | 1, 23, 33, 467, 11 |
| 1, 23, 3, 467, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 7 x 7 x 11 x 1 x 23 x 3 x 467 x 1 = 416836728
Therefore, the lowest common multiple of 392,552,693,467,539 is 416836728.
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.
392 x 552 x 693 x 467 x 539 = 37745399393856
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.
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
467 : 1, 467
539 : 1, 7, 11, 49, 77, 539
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 392,552,693,467,539, is 1.
Now, the common factors can be found like this.
392:2x 2x 2x 7x 7
552:2x 2x 2x 3x 23
693:3x 3x 7x 11
467:467
539:7x 7x 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 2x 2x 3x 7x 7x 7x 11 = 90552
Therefore, the value for common factors is 90552.
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 = 37745399393856/(1x90552)
LCM = 37745399393856/90552
LCM = 416836728
Thus, we can understand that the LCM of 392,552,693,467,539 is 416836728.
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FAQs on LCM of 392, 552, 693, 467, 539
1. What is the LCM of 392, 552, 693, 467, 539?
Answer: LCM of 392, 552, 693, 467, 539 is 416836728.
2. How to calculate the LCM of 392, 552, 693, 467, 539?
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 392, 552, 693, 467, 539.
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}.