LCM of 913, 946, 333, 860
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 946, 333, 860 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 913, 946, 333, 860. So, keep reading to learn more.
Given numbers are 913,946,333,860
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,946,333,860 is 261464940.
Find LCM of 913,946,333,860 with Prime Factorization
| 2 | 913, 946, 333, 860 |
| 11 | 913, 473, 333, 430 |
| 43 | 83, 43, 333, 430 |
| 83, 1, 333, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 43 x 83 x 1 x 333 x 10 = 261464940
Therefore, the lowest common multiple of 913,946,333,860 is 261464940.
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.
913 x 946 x 333 x 860 = 247345833240
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.
913 : 1, 11, 83, 913
946 : 1, 2, 11, 22, 43, 86, 473, 946
333 : 1, 3, 9, 37, 111, 333
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,946,333,860, is 1.
Now, the common factors can be found like this.
913:11x 83
946:2x 11x 43
333:3x 3x 37
860:2x 2x 5x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 43 = 946
Therefore, the value for common factors is 946.
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 = 247345833240/(1x946)
LCM = 247345833240/946
LCM = 261464940
Thus, we can understand that the LCM of 913,946,333,860 is 261464940.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 913, 946, 333, 860
1. What is the LCM of 913, 946, 333, 860?
Answer: LCM of 913, 946, 333, 860 is 261464940.
2. How to calculate the LCM of 913, 946, 333, 860?
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 913, 946, 333, 860.
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}.