LCM of 966, 722, 702, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 722, 702, 828 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, 722, 702, 828. So, keep reading to learn more.
Given numbers are 966,722,702,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,722,702,828 is 81601884.
Find LCM of 966,722,702,828 with Prime Factorization
| 2 | 966, 722, 702, 828 |
| 3 | 483, 361, 351, 414 |
| 3 | 161, 361, 117, 138 |
| 23 | 161, 361, 39, 46 |
| 7, 361, 39, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 7 x 361 x 39 x 2 = 81601884
Therefore, the lowest common multiple of 966,722,702,828 is 81601884.
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 722 x 702 x 828 = 405398159712
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
722 : 1, 2, 19, 38, 361, 722
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,722,702,828, is 2.
Now, the common factors can be found like this.
966:2x 3x 7x 23
722:2x 19x 19
702:2x 3x 3x 3x 13
828:2x 2x 3x 3x 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 2x 3x 3x 3x 23 = 2484
Therefore, the value for common factors is 2484.
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 = 405398159712/(2x2484)
LCM = 405398159712/4968
LCM = 81601884
Thus, we can understand that the LCM of 966,722,702,828 is 81601884.
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FAQs on LCM of 966, 722, 702, 828
1. What is the LCM of 966, 722, 702, 828?
Answer: LCM of 966, 722, 702, 828 is 81601884.
2. How to calculate the LCM of 966, 722, 702, 828?
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, 722, 702, 828.
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}.