LCM of 966, 299, 299, 519
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 299, 299, 519 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, 299, 299, 519. So, keep reading to learn more.
Given numbers are 966,299,299,519
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,299,299,519 is 2172534.
Find LCM of 966,299,299,519 with Prime Factorization
| 3 | 966, 299, 299, 519 |
| 13 | 322, 299, 299, 173 |
| 23 | 322, 23, 23, 173 |
| 14, 1, 1, 173 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 23 x 14 x 1 x 1 x 173 = 2172534
Therefore, the lowest common multiple of 966,299,299,519 is 2172534.
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 299 x 299 x 519 = 44821548954
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
299 : 1, 13, 23, 299
299 : 1, 13, 23, 299
519 : 1, 3, 173, 519
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,299,299,519, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
299:13x 23
299:13x 23
519:3x 173
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 23x 23 = 20631
Therefore, the value for common factors is 20631.
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 = 44821548954/(1x20631)
LCM = 44821548954/20631
LCM = 2172534
Thus, we can understand that the LCM of 966,299,299,519 is 2172534.
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FAQs on LCM of 966, 299, 299, 519
1. What is the LCM of 966, 299, 299, 519?
Answer: LCM of 966, 299, 299, 519 is 2172534.
2. How to calculate the LCM of 966, 299, 299, 519?
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, 299, 299, 519.
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}.