LCM of 820, 672, 486, 902, 546
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 820, 672, 486, 902, 546 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 820, 672, 486, 902, 546. So, keep reading to learn more.
Given numbers are 820,672,486,902,546
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 820,672,486,902,546 is 1595674080.
Find LCM of 820,672,486,902,546 with Prime Factorization
| 2 | 820, 672, 486, 902, 546 |
| 2 | 410, 336, 243, 451, 273 |
| 3 | 205, 168, 243, 451, 273 |
| 7 | 205, 56, 81, 451, 91 |
| 41 | 205, 8, 81, 451, 13 |
| 5, 8, 81, 11, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 41 x 5 x 8 x 81 x 11 x 13 = 1595674080
Therefore, the lowest common multiple of 820,672,486,902,546 is 1595674080.
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.
820 x 672 x 486 x 902 x 546 = 131892036756480
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.
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
902 : 1, 2, 11, 22, 41, 82, 451, 902
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,672,486,902,546, is 2.
Now, the common factors can be found like this.
820:2x 2x 5x 41
672:2x 2x 2x 2x 2x 3x 7
486:2x 3x 3x 3x 3x 3
902:2x 11x 41
546:2x 3x 7x 13
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 7x 41 = 41328
Therefore, the value for common factors is 41328.
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 = 131892036756480/(2x41328)
LCM = 131892036756480/82656
LCM = 1595674080
Thus, we can understand that the LCM of 820,672,486,902,546 is 1595674080.
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FAQs on LCM of 820, 672, 486, 902, 546
1. What is the LCM of 820, 672, 486, 902, 546?
Answer: LCM of 820, 672, 486, 902, 546 is 1595674080.
2. How to calculate the LCM of 820, 672, 486, 902, 546?
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 820, 672, 486, 902, 546.
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}.