LCM of 853, 399, 693, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 853, 399, 693, 946 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 853, 399, 693, 946. So, keep reading to learn more.
Given numbers are 853,399,693,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 853,399,693,946 is 965904786.
Find LCM of 853,399,693,946 with Prime Factorization
| 3 | 853, 399, 693, 946 |
| 7 | 853, 133, 231, 946 |
| 11 | 853, 19, 33, 946 |
| 853, 19, 3, 86 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 853 x 19 x 3 x 86 = 965904786
Therefore, the lowest common multiple of 853,399,693,946 is 965904786.
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.
853 x 399 x 693 x 946 = 223124005566
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.
853 : 1, 853
399 : 1, 3, 7, 19, 21, 57, 133, 399
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 853,399,693,946, is 1.
Now, the common factors can be found like this.
853:853
399:3x 7x 19
693:3x 3x 7x 11
946:2x 11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 11 = 231
Therefore, the value for common factors is 231.
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 = 223124005566/(1x231)
LCM = 223124005566/231
LCM = 965904786
Thus, we can understand that the LCM of 853,399,693,946 is 965904786.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 853, 399, 693, 946
1. What is the LCM of 853, 399, 693, 946?
Answer: LCM of 853, 399, 693, 946 is 965904786.
2. How to calculate the LCM of 853, 399, 693, 946?
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 853, 399, 693, 946.
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}.