LCM of 923, 962, 546, 351
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 962, 546, 351 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, 962, 546, 351. So, keep reading to learn more.
Given numbers are 923,962,546,351
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,962,546,351 is 12909078.
Find LCM of 923,962,546,351 with Prime Factorization
| 2 | 923, 962, 546, 351 |
| 3 | 923, 481, 273, 351 |
| 13 | 923, 481, 91, 117 |
| 71, 37, 7, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 71 x 37 x 7 x 9 = 12909078
Therefore, the lowest common multiple of 923,962,546,351 is 12909078.
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 962 x 546 x 351 = 170167466196
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
962 : 1, 2, 13, 26, 37, 74, 481, 962
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
351 : 1, 3, 9, 13, 27, 39, 117, 351
13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,962,546,351, is 13.
Now, the common factors can be found like this.
923:13x 71
962:2x 13x 37
546:2x 3x 7x 13
351:3x 3x 3x 13
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 13x 13 = 1014
Therefore, the value for common factors is 1014.
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 = 170167466196/(13x1014)
LCM = 170167466196/13182
LCM = 12909078
Thus, we can understand that the LCM of 923,962,546,351 is 12909078.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 923, 962, 546, 351
1. What is the LCM of 923, 962, 546, 351?
Answer: LCM of 923, 962, 546, 351 is 12909078.
2. How to calculate the LCM of 923, 962, 546, 351?
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, 962, 546, 351.
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}.