LCM of 599, 461, 436, 291, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 599, 461, 436, 291, 960 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 599, 461, 436, 291, 960. So, keep reading to learn more.
Given numbers are 599,461,436,291,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 599,461,436,291,960 is 2802832941120.
Find LCM of 599,461,436,291,960 with Prime Factorization
| 2 | 599, 461, 436, 291, 960 |
| 2 | 599, 461, 218, 291, 480 |
| 3 | 599, 461, 109, 291, 240 |
| 599, 461, 109, 97, 80 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 599 x 461 x 109 x 97 x 80 = 2802832941120
Therefore, the lowest common multiple of 599,461,436,291,960 is 2802832941120.
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.
599 x 461 x 436 x 291 x 960 = 33633995293440
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.
599 : 1, 599
461 : 1, 461
436 : 1, 2, 4, 109, 218, 436
291 : 1, 3, 97, 291
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 599,461,436,291,960, is 1.
Now, the common factors can be found like this.
599:599
461:461
436:2x 2x 109
291:3x 97
960:2x 2x 2x 2x 2x 2x 3x 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 3 = 12
Therefore, the value for common factors is 12.
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 = 33633995293440/(1x12)
LCM = 33633995293440/12
LCM = 2802832941120
Thus, we can understand that the LCM of 599,461,436,291,960 is 2802832941120.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 599, 461, 436, 291, 960
1. What is the LCM of 599, 461, 436, 291, 960?
Answer: LCM of 599, 461, 436, 291, 960 is 2802832941120.
2. How to calculate the LCM of 599, 461, 436, 291, 960?
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 599, 461, 436, 291, 960.
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}.