LCM of 903, 646, 923, 342
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 903, 646, 923, 342 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 903, 646, 923, 342. So, keep reading to learn more.
Given numbers are 903,646,923,342
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 903,646,923,342 is 1615262922.
Find LCM of 903,646,923,342 with Prime Factorization
| 2 | 903, 646, 923, 342 |
| 3 | 903, 323, 923, 171 |
| 19 | 301, 323, 923, 57 |
| 301, 17, 923, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 301 x 17 x 923 x 3 = 1615262922
Therefore, the lowest common multiple of 903,646,923,342 is 1615262922.
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.
903 x 646 x 923 x 342 = 184139973108
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.
903 : 1, 3, 7, 21, 43, 129, 301, 903
646 : 1, 2, 17, 19, 34, 38, 323, 646
923 : 1, 13, 71, 923
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 903,646,923,342, is 1.
Now, the common factors can be found like this.
903:3x 7x 43
646:2x 17x 19
923:13x 71
342:2x 3x 3x 19
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 19 = 114
Therefore, the value for common factors is 114.
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 = 184139973108/(1x114)
LCM = 184139973108/114
LCM = 1615262922
Thus, we can understand that the LCM of 903,646,923,342 is 1615262922.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 903, 646, 923, 342
1. What is the LCM of 903, 646, 923, 342?
Answer: LCM of 903, 646, 923, 342 is 1615262922.
2. How to calculate the LCM of 903, 646, 923, 342?
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 903, 646, 923, 342.
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}.