LCM of 963, 462, 516, 434, 599
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 963, 462, 516, 434, 599 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 963, 462, 516, 434, 599. So, keep reading to learn more.
Given numbers are 963,462,516,434,599
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,462,516,434,599 is 236828506068.
Find LCM of 963,462,516,434,599 with Prime Factorization
| 2 | 963, 462, 516, 434, 599 |
| 3 | 963, 231, 258, 217, 599 |
| 7 | 321, 77, 86, 217, 599 |
| 321, 11, 86, 31, 599 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 321 x 11 x 86 x 31 x 599 = 236828506068
Therefore, the lowest common multiple of 963,462,516,434,599 is 236828506068.
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.
963 x 462 x 516 x 434 x 599 = 59680783529136
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.
963 : 1, 3, 9, 107, 321, 963
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
434 : 1, 2, 7, 14, 31, 62, 217, 434
599 : 1, 599
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,462,516,434,599, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
462:2x 3x 7x 11
516:2x 2x 3x 43
434:2x 7x 31
599:599
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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 59680783529136/(1x252)
LCM = 59680783529136/252
LCM = 236828506068
Thus, we can understand that the LCM of 963,462,516,434,599 is 236828506068.
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FAQs on LCM of 963, 462, 516, 434, 599
1. What is the LCM of 963, 462, 516, 434, 599?
Answer: LCM of 963, 462, 516, 434, 599 is 236828506068.
2. How to calculate the LCM of 963, 462, 516, 434, 599?
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 963, 462, 516, 434, 599.
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}.