LCM of 770, 443, 400, 904, 459
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 443, 400, 904, 459 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 770, 443, 400, 904, 459. So, keep reading to learn more.
Given numbers are 770,443,400,904,459
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,443,400,904,459 is 707694094800.
Find LCM of 770,443,400,904,459 with Prime Factorization
| 2 | 770, 443, 400, 904, 459 |
| 2 | 385, 443, 200, 452, 459 |
| 2 | 385, 443, 100, 226, 459 |
| 5 | 385, 443, 50, 113, 459 |
| 77, 443, 10, 113, 459 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 77 x 443 x 10 x 113 x 459 = 707694094800
Therefore, the lowest common multiple of 770,443,400,904,459 is 707694094800.
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.
770 x 443 x 400 x 904 x 459 = 56615527584000
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
443 : 1, 443
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
904 : 1, 2, 4, 8, 113, 226, 452, 904
459 : 1, 3, 9, 17, 27, 51, 153, 459
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,443,400,904,459, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
443:443
400:2x 2x 2x 2x 5x 5
904:2x 2x 2x 113
459:3x 3x 3x 17
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 5 = 80
Therefore, the value for common factors is 80.
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 = 56615527584000/(1x80)
LCM = 56615527584000/80
LCM = 707694094800
Thus, we can understand that the LCM of 770,443,400,904,459 is 707694094800.
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FAQs on LCM of 770, 443, 400, 904, 459
1. What is the LCM of 770, 443, 400, 904, 459?
Answer: LCM of 770, 443, 400, 904, 459 is 707694094800.
2. How to calculate the LCM of 770, 443, 400, 904, 459?
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 770, 443, 400, 904, 459.
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}.