LCM of 994, 863, 355, 819, 745
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 994, 863, 355, 819, 745 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 994, 863, 355, 819, 745. So, keep reading to learn more.
Given numbers are 994,863,355,819,745
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 994,863,355,819,745 is 74772054630.
Find LCM of 994,863,355,819,745 with Prime Factorization
| 5 | 994, 863, 355, 819, 745 |
| 7 | 994, 863, 71, 819, 149 |
| 71 | 142, 863, 71, 117, 149 |
| 2, 863, 1, 117, 149 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 71 x 2 x 863 x 1 x 117 x 149 = 74772054630
Therefore, the lowest common multiple of 994,863,355,819,745 is 74772054630.
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.
994 x 863 x 355 x 819 x 745 = 185808555755550
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.
994 : 1, 2, 7, 14, 71, 142, 497, 994
863 : 1, 863
355 : 1, 5, 71, 355
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
745 : 1, 5, 149, 745
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,863,355,819,745, is 1.
Now, the common factors can be found like this.
994:2x 7x 71
863:863
355:5x 71
819:3x 3x 7x 13
745:5x 149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 71 = 2485
Therefore, the value for common factors is 2485.
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 = 185808555755550/(1x2485)
LCM = 185808555755550/2485
LCM = 74772054630
Thus, we can understand that the LCM of 994,863,355,819,745 is 74772054630.
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FAQs on LCM of 994, 863, 355, 819, 745
1. What is the LCM of 994, 863, 355, 819, 745?
Answer: LCM of 994, 863, 355, 819, 745 is 74772054630.
2. How to calculate the LCM of 994, 863, 355, 819, 745?
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 994, 863, 355, 819, 745.
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}.