LCM of 9, 712, 267, 433
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 9, 712, 267, 433 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 9, 712, 267, 433. So, keep reading to learn more.
Given numbers are 9,712,267,433
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9,712,267,433 is 2774664.
Find LCM of 9,712,267,433 with Prime Factorization
| 3 | 9, 712, 267, 433 |
| 89 | 3, 712, 89, 433 |
| 3, 8, 1, 433 |
Multiply the prime numbers at the bottom and the left side.
3 x 89 x 3 x 8 x 1 x 433 = 2774664
Therefore, the lowest common multiple of 9,712,267,433 is 2774664.
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.
9 x 712 x 267 x 433 = 740835288
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.
9 : 1, 3, 9
712 : 1, 2, 4, 8, 89, 178, 356, 712
267 : 1, 3, 89, 267
433 : 1, 433
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9,712,267,433, is 1.
Now, the common factors can be found like this.
9:3x 3
712:2x 2x 2x 89
267:3x 89
433:433
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 = 740835288/(1x267)
LCM = 740835288/267
LCM = 2774664
Thus, we can understand that the LCM of 9,712,267,433 is 2774664.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 9, 712, 267, 433
1. What is the LCM of 9, 712, 267, 433?
Answer: LCM of 9, 712, 267, 433 is 2774664.
2. How to calculate the LCM of 9, 712, 267, 433?
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 9, 712, 267, 433.
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}.