LCM of 987, 644, 916, 857, 804
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 644, 916, 857, 804 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 987, 644, 916, 857, 804. So, keep reading to learn more.
Given numbers are 987,644,916,857,804
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,644,916,857,804 is 1193977346604.
Find LCM of 987,644,916,857,804 with Prime Factorization
| 2 | 987, 644, 916, 857, 804 |
| 2 | 987, 322, 458, 857, 402 |
| 3 | 987, 161, 229, 857, 201 |
| 7 | 329, 161, 229, 857, 67 |
| 47, 23, 229, 857, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 47 x 23 x 229 x 857 x 67 = 1193977346604
Therefore, the lowest common multiple of 987,644,916,857,804 is 1193977346604.
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.
987 x 644 x 916 x 857 x 804 = 401176388458944
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
916 : 1, 2, 4, 229, 458, 916
857 : 1, 857
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,644,916,857,804, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
644:2x 2x 7x 23
916:2x 2x 229
857:857
804:2x 2x 3x 67
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 7 = 336
Therefore, the value for common factors is 336.
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 = 401176388458944/(1x336)
LCM = 401176388458944/336
LCM = 1193977346604
Thus, we can understand that the LCM of 987,644,916,857,804 is 1193977346604.
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FAQs on LCM of 987, 644, 916, 857, 804
1. What is the LCM of 987, 644, 916, 857, 804?
Answer: LCM of 987, 644, 916, 857, 804 is 1193977346604.
2. How to calculate the LCM of 987, 644, 916, 857, 804?
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 987, 644, 916, 857, 804.
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}.