LCM of 923, 754, 509, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 923, 754, 509, 667 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, 754, 509, 667. So, keep reading to learn more.
Given numbers are 923,754,509,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 923,754,509,667 is 626722538.
Find LCM of 923,754,509,667 with Prime Factorization
| 13 | 923, 754, 509, 667 |
| 29 | 71, 58, 509, 667 |
| 71, 2, 509, 23 |
Multiply the prime numbers at the bottom and the left side.
13 x 29 x 71 x 2 x 509 x 23 = 626722538
Therefore, the lowest common multiple of 923,754,509,667 is 626722538.
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 754 x 509 x 667 = 236274396826
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
754 : 1, 2, 13, 26, 29, 58, 377, 754
509 : 1, 509
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 923,754,509,667, is 1.
Now, the common factors can be found like this.
923:13x 71
754:2x 13x 29
509:509
667:23x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 29 = 377
Therefore, the value for common factors is 377.
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 = 236274396826/(1x377)
LCM = 236274396826/377
LCM = 626722538
Thus, we can understand that the LCM of 923,754,509,667 is 626722538.
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FAQs on LCM of 923, 754, 509, 667
1. What is the LCM of 923, 754, 509, 667?
Answer: LCM of 923, 754, 509, 667 is 626722538.
2. How to calculate the LCM of 923, 754, 509, 667?
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, 754, 509, 667.
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}.