LCM of 267, 789, 584, 623
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 267, 789, 584, 623 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 267, 789, 584, 623. So, keep reading to learn more.
Given numbers are 267,789,584,623
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 267,789,584,623 is 287063448.
Find LCM of 267,789,584,623 with Prime Factorization
| 3 | 267, 789, 584, 623 |
| 89 | 89, 263, 584, 623 |
| 1, 263, 584, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 89 x 1 x 263 x 584 x 7 = 287063448
Therefore, the lowest common multiple of 267,789,584,623 is 287063448.
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.
267 x 789 x 584 x 623 = 76645940616
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.
267 : 1, 3, 89, 267
789 : 1, 3, 263, 789
584 : 1, 2, 4, 8, 73, 146, 292, 584
623 : 1, 7, 89, 623
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 267,789,584,623, is 1.
Now, the common factors can be found like this.
267:3x 89
789:3x 263
584:2x 2x 2x 73
623:7x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 89 = 267
Therefore, the value for common factors is 267.
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 = 76645940616/(1x267)
LCM = 76645940616/267
LCM = 287063448
Thus, we can understand that the LCM of 267,789,584,623 is 287063448.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 267, 789, 584, 623
1. What is the LCM of 267, 789, 584, 623?
Answer: LCM of 267, 789, 584, 623 is 287063448.
2. How to calculate the LCM of 267, 789, 584, 623?
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 267, 789, 584, 623.
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}.