LCM of 546, 788, 408, 486, 369
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 788, 408, 486, 369 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 546, 788, 408, 486, 369. So, keep reading to learn more.
Given numbers are 546,788,408,486,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,788,408,486,369 is 24290511336.
Find LCM of 546,788,408,486,369 with Prime Factorization
| 2 | 546, 788, 408, 486, 369 |
| 2 | 273, 394, 204, 243, 369 |
| 3 | 273, 197, 102, 243, 369 |
| 3 | 91, 197, 34, 81, 123 |
| 91, 197, 34, 27, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 91 x 197 x 34 x 27 x 41 = 24290511336
Therefore, the lowest common multiple of 546,788,408,486,369 is 24290511336.
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.
546 x 788 x 408 x 486 x 369 = 31480502691456
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
788 : 1, 2, 4, 197, 394, 788
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,788,408,486,369, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
788:2x 2x 197
408:2x 2x 2x 3x 17
486:2x 3x 3x 3x 3x 3
369:3x 3x 41
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 3x 3x 3x 3 = 1296
Therefore, the value for common factors is 1296.
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 = 31480502691456/(1x1296)
LCM = 31480502691456/1296
LCM = 24290511336
Thus, we can understand that the LCM of 546,788,408,486,369 is 24290511336.
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FAQs on LCM of 546, 788, 408, 486, 369
1. What is the LCM of 546, 788, 408, 486, 369?
Answer: LCM of 546, 788, 408, 486, 369 is 24290511336.
2. How to calculate the LCM of 546, 788, 408, 486, 369?
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 546, 788, 408, 486, 369.
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}.