LCM of 844, 308, 837, 742, 321
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 308, 837, 742, 321 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 844, 308, 837, 742, 321. So, keep reading to learn more.
Given numbers are 844,308,837,742,321
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,308,837,742,321 is 308473795476.
Find LCM of 844,308,837,742,321 with Prime Factorization
| 2 | 844, 308, 837, 742, 321 |
| 2 | 422, 154, 837, 371, 321 |
| 3 | 211, 77, 837, 371, 321 |
| 7 | 211, 77, 279, 371, 107 |
| 211, 11, 279, 53, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 211 x 11 x 279 x 53 x 107 = 308473795476
Therefore, the lowest common multiple of 844,308,837,742,321 is 308473795476.
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.
844 x 308 x 837 x 742 x 321 = 51823597639968
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.
844 : 1, 2, 4, 211, 422, 844
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
837 : 1, 3, 9, 27, 31, 93, 279, 837
742 : 1, 2, 7, 14, 53, 106, 371, 742
321 : 1, 3, 107, 321
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,308,837,742,321, is 1.
Now, the common factors can be found like this.
844:2x 2x 211
308:2x 2x 7x 11
837:3x 3x 3x 31
742:2x 7x 53
321:3x 107
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 7 = 168
Therefore, the value for common factors is 168.
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 = 51823597639968/(1x168)
LCM = 51823597639968/168
LCM = 308473795476
Thus, we can understand that the LCM of 844,308,837,742,321 is 308473795476.
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FAQs on LCM of 844, 308, 837, 742, 321
1. What is the LCM of 844, 308, 837, 742, 321?
Answer: LCM of 844, 308, 837, 742, 321 is 308473795476.
2. How to calculate the LCM of 844, 308, 837, 742, 321?
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 844, 308, 837, 742, 321.
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}.