LCM of 433, 672, 851, 368, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 433, 672, 851, 368, 814 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 433, 672, 851, 368, 814. So, keep reading to learn more.
Given numbers are 433,672,851,368,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 433,672,851,368,814 is 2723826336.
Find LCM of 433,672,851,368,814 with Prime Factorization
| 2 | 433, 672, 851, 368, 814 |
| 2 | 433, 336, 851, 184, 407 |
| 2 | 433, 168, 851, 92, 407 |
| 2 | 433, 84, 851, 46, 407 |
| 23 | 433, 42, 851, 23, 407 |
| 37 | 433, 42, 37, 1, 407 |
| 433, 42, 1, 1, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 23 x 37 x 433 x 42 x 1 x 1 x 11 = 2723826336
Therefore, the lowest common multiple of 433,672,851,368,814 is 2723826336.
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.
433 x 672 x 851 x 368 x 814 = 74175238781952
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.
433 : 1, 433
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
851 : 1, 23, 37, 851
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,672,851,368,814, is 1.
Now, the common factors can be found like this.
433:433
672:2x 2x 2x 2x 2x 3x 7
851:23x 37
368:2x 2x 2x 2x 23
814:2x 11x 37
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 23x 37 = 27232
Therefore, the value for common factors is 27232.
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 = 74175238781952/(1x27232)
LCM = 74175238781952/27232
LCM = 2723826336
Thus, we can understand that the LCM of 433,672,851,368,814 is 2723826336.
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FAQs on LCM of 433, 672, 851, 368, 814
1. What is the LCM of 433, 672, 851, 368, 814?
Answer: LCM of 433, 672, 851, 368, 814 is 2723826336.
2. How to calculate the LCM of 433, 672, 851, 368, 814?
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 433, 672, 851, 368, 814.
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}.