LCM of 797, 944, 970, 462, 354
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 797, 944, 970, 462, 354 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 797, 944, 970, 462, 354. So, keep reading to learn more.
Given numbers are 797,944,970,462,354
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 797,944,970,462,354 is 84291548880.
Find LCM of 797,944,970,462,354 with Prime Factorization
| 2 | 797, 944, 970, 462, 354 |
| 3 | 797, 472, 485, 231, 177 |
| 59 | 797, 472, 485, 77, 59 |
| 797, 8, 485, 77, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 59 x 797 x 8 x 485 x 77 x 1 = 84291548880
Therefore, the lowest common multiple of 797,944,970,462,354 is 84291548880.
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.
797 x 944 x 970 x 462 x 354 = 119356833214080
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.
797 : 1, 797
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
970 : 1, 2, 5, 10, 97, 194, 485, 970
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
354 : 1, 2, 3, 6, 59, 118, 177, 354
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,944,970,462,354, is 1.
Now, the common factors can be found like this.
797:797
944:2x 2x 2x 2x 59
970:2x 5x 97
462:2x 3x 7x 11
354:2x 3x 59
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 3x 59 = 1416
Therefore, the value for common factors is 1416.
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 = 119356833214080/(1x1416)
LCM = 119356833214080/1416
LCM = 84291548880
Thus, we can understand that the LCM of 797,944,970,462,354 is 84291548880.
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FAQs on LCM of 797, 944, 970, 462, 354
1. What is the LCM of 797, 944, 970, 462, 354?
Answer: LCM of 797, 944, 970, 462, 354 is 84291548880.
2. How to calculate the LCM of 797, 944, 970, 462, 354?
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 797, 944, 970, 462, 354.
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}.