LCM of 253, 519, 756, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 519, 756, 966 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 253, 519, 756, 966. So, keep reading to learn more.
Given numbers are 253,519,756,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,519,756,966 is 33089364.
Find LCM of 253,519,756,966 with Prime Factorization
| 2 | 253, 519, 756, 966 |
| 3 | 253, 519, 378, 483 |
| 7 | 253, 173, 126, 161 |
| 23 | 253, 173, 18, 23 |
| 11, 173, 18, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 23 x 11 x 173 x 18 x 1 = 33089364
Therefore, the lowest common multiple of 253,519,756,966 is 33089364.
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.
253 x 519 x 756 x 966 = 95892976872
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.
253 : 1, 11, 23, 253
519 : 1, 3, 173, 519
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,519,756,966, is 1.
Now, the common factors can be found like this.
253:11x 23
519:3x 173
756:2x 2x 3x 3x 3x 7
966:2x 3x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7x 23 = 2898
Therefore, the value for common factors is 2898.
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 = 95892976872/(1x2898)
LCM = 95892976872/2898
LCM = 33089364
Thus, we can understand that the LCM of 253,519,756,966 is 33089364.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 253, 519, 756, 966
1. What is the LCM of 253, 519, 756, 966?
Answer: LCM of 253, 519, 756, 966 is 33089364.
2. How to calculate the LCM of 253, 519, 756, 966?
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 253, 519, 756, 966.
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}.