LCM of 579, 560, 144, 497, 869
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 579, 560, 144, 497, 869 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 579, 560, 144, 497, 869. So, keep reading to learn more.
Given numbers are 579,560,144,497,869
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 579,560,144,497,869 is 60015851280.
Find LCM of 579,560,144,497,869 with Prime Factorization
| 2 | 579, 560, 144, 497, 869 |
| 2 | 579, 280, 72, 497, 869 |
| 2 | 579, 140, 36, 497, 869 |
| 2 | 579, 70, 18, 497, 869 |
| 3 | 579, 35, 9, 497, 869 |
| 7 | 193, 35, 3, 497, 869 |
| 193, 5, 3, 71, 869 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 193 x 5 x 3 x 71 x 869 = 60015851280
Therefore, the lowest common multiple of 579,560,144,497,869 is 60015851280.
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.
579 x 560 x 144 x 497 x 869 = 20165326030080
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.
579 : 1, 3, 193, 579
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
497 : 1, 7, 71, 497
869 : 1, 11, 79, 869
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,560,144,497,869, is 1.
Now, the common factors can be found like this.
579:3x 193
560:2x 2x 2x 2x 5x 7
144:2x 2x 2x 2x 3x 3
497:7x 71
869:11x 79
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 3x 7 = 336
Therefore, the value for common factors is 336.
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 = 20165326030080/(1x336)
LCM = 20165326030080/336
LCM = 60015851280
Thus, we can understand that the LCM of 579,560,144,497,869 is 60015851280.
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FAQs on LCM of 579, 560, 144, 497, 869
1. What is the LCM of 579, 560, 144, 497, 869?
Answer: LCM of 579, 560, 144, 497, 869 is 60015851280.
2. How to calculate the LCM of 579, 560, 144, 497, 869?
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 579, 560, 144, 497, 869.
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}.