LCM of 844, 702, 858, 852
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 844, 702, 858, 852 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 844, 702, 858, 852. So, keep reading to learn more.
Given numbers are 844,702,858,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 844,702,858,852 is 231366564.
Find LCM of 844,702,858,852 with Prime Factorization
| 2 | 844, 702, 858, 852 |
| 2 | 422, 351, 429, 426 |
| 3 | 211, 351, 429, 213 |
| 13 | 211, 117, 143, 71 |
| 211, 9, 11, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 211 x 9 x 11 x 71 = 231366564
Therefore, the lowest common multiple of 844,702,858,852 is 231366564.
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.
844 x 702 x 858 x 852 = 433118207808
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.
844 : 1, 2, 4, 211, 422, 844
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,702,858,852, is 2.
Now, the common factors can be found like this.
844:2x 2x 211
702:2x 3x 3x 3x 13
858:2x 3x 11x 13
852:2x 2x 3x 71
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 3x 13 = 936
Therefore, the value for common factors is 936.
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 = 433118207808/(2x936)
LCM = 433118207808/1872
LCM = 231366564
Thus, we can understand that the LCM of 844,702,858,852 is 231366564.
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FAQs on LCM of 844, 702, 858, 852
1. What is the LCM of 844, 702, 858, 852?
Answer: LCM of 844, 702, 858, 852 is 231366564.
2. How to calculate the LCM of 844, 702, 858, 852?
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 844, 702, 858, 852.
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}.