LCM of 579, 748, 579, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 579, 748, 579, 493 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, 748, 579, 493. So, keep reading to learn more.
Given numbers are 579,748,579,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 579,748,579,493 is 12559668.
Find LCM of 579,748,579,493 with Prime Factorization
| 3 | 579, 748, 579, 493 |
| 17 | 193, 748, 193, 493 |
| 193 | 193, 44, 193, 29 |
| 1, 44, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 193 x 1 x 44 x 1 x 29 = 12559668
Therefore, the lowest common multiple of 579,748,579,493 is 12559668.
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 748 x 579 x 493 = 123624812124
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
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
579 : 1, 3, 193, 579
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,748,579,493, is 1.
Now, the common factors can be found like this.
579:3x 193
748:2x 2x 11x 17
579:3x 193
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17x 193 = 9843
Therefore, the value for common factors is 9843.
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 = 123624812124/(1x9843)
LCM = 123624812124/9843
LCM = 12559668
Thus, we can understand that the LCM of 579,748,579,493 is 12559668.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 579, 748, 579, 493
1. What is the LCM of 579, 748, 579, 493?
Answer: LCM of 579, 748, 579, 493 is 12559668.
2. How to calculate the LCM of 579, 748, 579, 493?
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, 748, 579, 493.
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}.