LCM of 966, 416, 986, 938
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 416, 986, 938 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 966, 416, 986, 938. So, keep reading to learn more.
Given numbers are 966,416,986,938
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,416,986,938 is 6636852768.
Find LCM of 966,416,986,938 with Prime Factorization
| 2 | 966, 416, 986, 938 |
| 7 | 483, 208, 493, 469 |
| 69, 208, 493, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 69 x 208 x 493 x 67 = 6636852768
Therefore, the lowest common multiple of 966,416,986,938 is 6636852768.
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.
966 x 416 x 986 x 938 = 371663755008
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.
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
986 : 1, 2, 17, 29, 34, 58, 493, 986
938 : 1, 2, 7, 14, 67, 134, 469, 938
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,416,986,938, is 2.
Now, the common factors can be found like this.
966:2x 3x 7x 23
416:2x 2x 2x 2x 2x 13
986:2x 17x 29
938:2x 7x 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 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 = 371663755008/(2x28)
LCM = 371663755008/56
LCM = 6636852768
Thus, we can understand that the LCM of 966,416,986,938 is 6636852768.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 966, 416, 986, 938
1. What is the LCM of 966, 416, 986, 938?
Answer: LCM of 966, 416, 986, 938 is 6636852768.
2. How to calculate the LCM of 966, 416, 986, 938?
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 966, 416, 986, 938.
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}.