LCM of 433, 752, 323, 295, 320
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 433, 752, 323, 295, 320 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 433, 752, 323, 295, 320. So, keep reading to learn more.
Given numbers are 433,752,323,295,320
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 433,752,323,295,320 is 124105282240.
Find LCM of 433,752,323,295,320 with Prime Factorization
| 2 | 433, 752, 323, 295, 320 |
| 2 | 433, 376, 323, 295, 160 |
| 2 | 433, 188, 323, 295, 80 |
| 2 | 433, 94, 323, 295, 40 |
| 5 | 433, 47, 323, 295, 20 |
| 433, 47, 323, 59, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 433 x 47 x 323 x 59 x 4 = 124105282240
Therefore, the lowest common multiple of 433,752,323,295,320 is 124105282240.
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.
433 x 752 x 323 x 295 x 320 = 9928422579200
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.
433 : 1, 433
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
323 : 1, 17, 19, 323
295 : 1, 5, 59, 295
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 433,752,323,295,320, is 1.
Now, the common factors can be found like this.
433:433
752:2x 2x 2x 2x 47
323:17x 19
295:5x 59
320:2x 2x 2x 2x 2x 2x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 5 = 80
Therefore, the value for common factors is 80.
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 = 9928422579200/(1x80)
LCM = 9928422579200/80
LCM = 124105282240
Thus, we can understand that the LCM of 433,752,323,295,320 is 124105282240.
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FAQs on LCM of 433, 752, 323, 295, 320
1. What is the LCM of 433, 752, 323, 295, 320?
Answer: LCM of 433, 752, 323, 295, 320 is 124105282240.
2. How to calculate the LCM of 433, 752, 323, 295, 320?
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 433, 752, 323, 295, 320.
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}.