LCM of 994, 365, 803, 330
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 994, 365, 803, 330 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, 365, 803, 330. So, keep reading to learn more.
Given numbers are 994,365,803,330
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 994,365,803,330 is 11972730.
Find LCM of 994,365,803,330 with Prime Factorization
| 2 | 994, 365, 803, 330 |
| 5 | 497, 365, 803, 165 |
| 11 | 497, 73, 803, 33 |
| 73 | 497, 73, 73, 3 |
| 497, 1, 1, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 73 x 497 x 1 x 1 x 3 = 11972730
Therefore, the lowest common multiple of 994,365,803,330 is 11972730.
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 365 x 803 x 330 = 96141021900
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
365 : 1, 5, 73, 365
803 : 1, 11, 73, 803
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,365,803,330, is 1.
Now, the common factors can be found like this.
994:2x 7x 71
365:5x 73
803:11x 73
330:2x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 11x 73 = 8030
Therefore, the value for common factors is 8030.
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 = 96141021900/(1x8030)
LCM = 96141021900/8030
LCM = 11972730
Thus, we can understand that the LCM of 994,365,803,330 is 11972730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 994, 365, 803, 330
1. What is the LCM of 994, 365, 803, 330?
Answer: LCM of 994, 365, 803, 330 is 11972730.
2. How to calculate the LCM of 994, 365, 803, 330?
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, 365, 803, 330.
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}.