LCM of 486, 392, 567, 920, 508
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 392, 567, 920, 508 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 486, 392, 567, 920, 508. So, keep reading to learn more.
Given numbers are 486,392,567,920,508
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,392,567,920,508 is 1391213880.
Find LCM of 486,392,567,920,508 with Prime Factorization
| 2 | 486, 392, 567, 920, 508 |
| 2 | 243, 196, 567, 460, 254 |
| 2 | 243, 98, 567, 230, 127 |
| 3 | 243, 49, 567, 115, 127 |
| 3 | 81, 49, 189, 115, 127 |
| 3 | 27, 49, 63, 115, 127 |
| 3 | 9, 49, 21, 115, 127 |
| 7 | 3, 49, 7, 115, 127 |
| 3, 1, 7, 115, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 3 x 7 x 3 x 1 x 7 x 115 x 127 = 1391213880
Therefore, the lowest common multiple of 486,392,567,920,508 is 1391213880.
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.
486 x 392 x 567 x 920 x 508 = 50484369277440
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
508 : 1, 2, 4, 127, 254, 508
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,392,567,920,508, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
392:2x 2x 2x 7x 7
567:3x 3x 3x 3x 7
920:2x 2x 2x 5x 23
508:2x 2x 127
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 2x 2x 2x 3x 3x 3x 3x 7 = 36288
Therefore, the value for common factors is 36288.
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 = 50484369277440/(1x36288)
LCM = 50484369277440/36288
LCM = 1391213880
Thus, we can understand that the LCM of 486,392,567,920,508 is 1391213880.
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FAQs on LCM of 486, 392, 567, 920, 508
1. What is the LCM of 486, 392, 567, 920, 508?
Answer: LCM of 486, 392, 567, 920, 508 is 1391213880.
2. How to calculate the LCM of 486, 392, 567, 920, 508?
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 486, 392, 567, 920, 508.
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}.