LCM of 325, 640, 487, 752, 775
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 325, 640, 487, 752, 775 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 325, 640, 487, 752, 775. So, keep reading to learn more.
Given numbers are 325,640,487,752,775
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 325,640,487,752,775 is 29517654400.
Find LCM of 325,640,487,752,775 with Prime Factorization
| 2 | 325, 640, 487, 752, 775 |
| 2 | 325, 320, 487, 376, 775 |
| 2 | 325, 160, 487, 188, 775 |
| 2 | 325, 80, 487, 94, 775 |
| 5 | 325, 40, 487, 47, 775 |
| 5 | 65, 8, 487, 47, 155 |
| 13, 8, 487, 47, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 5 x 5 x 13 x 8 x 487 x 47 x 31 = 29517654400
Therefore, the lowest common multiple of 325,640,487,752,775 is 29517654400.
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.
325 x 640 x 487 x 752 x 775 = 59035308800000
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.
325 : 1, 5, 13, 25, 65, 325
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
487 : 1, 487
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
775 : 1, 5, 25, 31, 155, 775
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 325,640,487,752,775, is 1.
Now, the common factors can be found like this.
325:5x 5x 13
640:2x 2x 2x 2x 2x 2x 2x 5
487:487
752:2x 2x 2x 2x 47
775:5x 5x 31
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 5x 5x 5 = 2000
Therefore, the value for common factors is 2000.
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 = 59035308800000/(1x2000)
LCM = 59035308800000/2000
LCM = 29517654400
Thus, we can understand that the LCM of 325,640,487,752,775 is 29517654400.
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FAQs on LCM of 325, 640, 487, 752, 775
1. What is the LCM of 325, 640, 487, 752, 775?
Answer: LCM of 325, 640, 487, 752, 775 is 29517654400.
2. How to calculate the LCM of 325, 640, 487, 752, 775?
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 325, 640, 487, 752, 775.
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}.