LCM of 486, 969, 880, 754, 623
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 969, 880, 754, 623 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 486, 969, 880, 754, 623. So, keep reading to learn more.
Given numbers are 486,969,880,754,623
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,969,880,754,623 is 16222615128720.
Find LCM of 486,969,880,754,623 with Prime Factorization
| 2 | 486, 969, 880, 754, 623 |
| 3 | 243, 969, 440, 377, 623 |
| 81, 323, 440, 377, 623 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 81 x 323 x 440 x 377 x 623 = 16222615128720
Therefore, the lowest common multiple of 486,969,880,754,623 is 16222615128720.
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.
486 x 969 x 880 x 754 x 623 = 194671381544640
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
969 : 1, 3, 17, 19, 51, 57, 323, 969
880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
754 : 1, 2, 13, 26, 29, 58, 377, 754
623 : 1, 7, 89, 623
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,969,880,754,623, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
969:3x 17x 19
880:2x 2x 2x 2x 5x 11
754:2x 13x 29
623:7x 89
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 = 194671381544640/(1x12)
LCM = 194671381544640/12
LCM = 16222615128720
Thus, we can understand that the LCM of 486,969,880,754,623 is 16222615128720.
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FAQs on LCM of 486, 969, 880, 754, 623
1. What is the LCM of 486, 969, 880, 754, 623?
Answer: LCM of 486, 969, 880, 754, 623 is 16222615128720.
2. How to calculate the LCM of 486, 969, 880, 754, 623?
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 486, 969, 880, 754, 623.
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}.