LCM of 994, 922, 196, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 994, 922, 196, 309 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, 922, 196, 309. So, keep reading to learn more.
Given numbers are 994,922,196,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 994,922,196,309 is 1982320284.
Find LCM of 994,922,196,309 with Prime Factorization
| 2 | 994, 922, 196, 309 |
| 7 | 497, 461, 98, 309 |
| 71, 461, 14, 309 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 71 x 461 x 14 x 309 = 1982320284
Therefore, the lowest common multiple of 994,922,196,309 is 1982320284.
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 922 x 196 x 309 = 55504967952
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
922 : 1, 2, 461, 922
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,922,196,309, is 1.
Now, the common factors can be found like this.
994:2x 7x 71
922:2x 461
196:2x 2x 7x 7
309:3x 103
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 7 = 28
Therefore, the value for common factors is 28.
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 = 55504967952/(1x28)
LCM = 55504967952/28
LCM = 1982320284
Thus, we can understand that the LCM of 994,922,196,309 is 1982320284.
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FAQs on LCM of 994, 922, 196, 309
1. What is the LCM of 994, 922, 196, 309?
Answer: LCM of 994, 922, 196, 309 is 1982320284.
2. How to calculate the LCM of 994, 922, 196, 309?
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, 922, 196, 309.
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}.