LCM of 963, 754, 580, 749, 582
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 963, 754, 580, 749, 582 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, 754, 580, 749, 582. So, keep reading to learn more.
Given numbers are 963,754,580,749,582
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 963,754,580,749,582 is 4930232580.
Find LCM of 963,754,580,749,582 with Prime Factorization
| 2 | 963, 754, 580, 749, 582 |
| 3 | 963, 377, 290, 749, 291 |
| 29 | 321, 377, 290, 749, 97 |
| 107 | 321, 13, 10, 749, 97 |
| 3, 13, 10, 7, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 107 x 3 x 13 x 10 x 7 x 97 = 4930232580
Therefore, the lowest common multiple of 963,754,580,749,582 is 4930232580.
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 754 x 580 x 749 x 582 = 183582140348880
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
754 : 1, 2, 13, 26, 29, 58, 377, 754
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
749 : 1, 7, 107, 749
582 : 1, 2, 3, 6, 97, 194, 291, 582
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 963,754,580,749,582, is 1.
Now, the common factors can be found like this.
963:3x 3x 107
754:2x 13x 29
580:2x 2x 5x 29
749:7x 107
582:2x 3x 97
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 29x 107 = 37236
Therefore, the value for common factors is 37236.
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 = 183582140348880/(1x37236)
LCM = 183582140348880/37236
LCM = 4930232580
Thus, we can understand that the LCM of 963,754,580,749,582 is 4930232580.
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FAQs on LCM of 963, 754, 580, 749, 582
1. What is the LCM of 963, 754, 580, 749, 582?
Answer: LCM of 963, 754, 580, 749, 582 is 4930232580.
2. How to calculate the LCM of 963, 754, 580, 749, 582?
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, 754, 580, 749, 582.
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}.