LCM of 923, 407, 299, 345
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 407, 299, 345 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 923, 407, 299, 345. So, keep reading to learn more.
Given numbers are 923,407,299,345
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,407,299,345 is 129603045.
Find LCM of 923,407,299,345 with Prime Factorization
| 13 | 923, 407, 299, 345 |
| 23 | 71, 407, 23, 345 |
| 71, 407, 1, 15 |
Multiply the prime numbers at the bottom and the left side.
13 x 23 x 71 x 407 x 1 x 15 = 129603045
Therefore, the lowest common multiple of 923,407,299,345 is 129603045.
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.
923 x 407 x 299 x 345 = 38751310455
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.
923 : 1, 13, 71, 923
407 : 1, 11, 37, 407
299 : 1, 13, 23, 299
345 : 1, 3, 5, 15, 23, 69, 115, 345
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,407,299,345, is 1.
Now, the common factors can be found like this.
923:13x 71
407:11x 37
299:13x 23
345:3x 5x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 23 = 299
Therefore, the value for common factors is 299.
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 = 38751310455/(1x299)
LCM = 38751310455/299
LCM = 129603045
Thus, we can understand that the LCM of 923,407,299,345 is 129603045.
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FAQs on LCM of 923, 407, 299, 345
1. What is the LCM of 923, 407, 299, 345?
Answer: LCM of 923, 407, 299, 345 is 129603045.
2. How to calculate the LCM of 923, 407, 299, 345?
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 923, 407, 299, 345.
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}.