LCM of 994, 966, 361, 782, 318
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 994, 966, 361, 782, 318 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, 966, 361, 782, 318. So, keep reading to learn more.
Given numbers are 994,966,361,782,318
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 994,966,361,782,318 is 22308350946.
Find LCM of 994,966,361,782,318 with Prime Factorization
| 2 | 994, 966, 361, 782, 318 |
| 3 | 497, 483, 361, 391, 159 |
| 7 | 497, 161, 361, 391, 53 |
| 23 | 71, 23, 361, 391, 53 |
| 71, 1, 361, 17, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 71 x 1 x 361 x 17 x 53 = 22308350946
Therefore, the lowest common multiple of 994,966,361,782,318 is 22308350946.
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 966 x 361 x 782 x 318 = 86199468055344
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
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
361 : 1, 19, 361
782 : 1, 2, 17, 23, 34, 46, 391, 782
318 : 1, 2, 3, 6, 53, 106, 159, 318
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,966,361,782,318, is 1.
Now, the common factors can be found like this.
994:2x 7x 71
966:2x 3x 7x 23
361:19x 19
782:2x 17x 23
318:2x 3x 53
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 7x 23 = 3864
Therefore, the value for common factors is 3864.
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 = 86199468055344/(1x3864)
LCM = 86199468055344/3864
LCM = 22308350946
Thus, we can understand that the LCM of 994,966,361,782,318 is 22308350946.
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FAQs on LCM of 994, 966, 361, 782, 318
1. What is the LCM of 994, 966, 361, 782, 318?
Answer: LCM of 994, 966, 361, 782, 318 is 22308350946.
2. How to calculate the LCM of 994, 966, 361, 782, 318?
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, 966, 361, 782, 318.
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}.